I will do this, but first 2 quick comments - what you're asking for looks at this strictly as a scouting/drafting problem, whereas those of us who criticize this organization's track record of developing forwards also believe the development aspect (post-draft preparation for a key scoring role) is important.
Also, it ignores the trading of higher picks for veterans and over-the-hill players which would render the below moot if a pick that could've been a HoFer was traded for a veteran instead. I have some free time right now but not enough to research every traded NYR pick in history to see where it would've been.
That said:
(This just concerns forwards - pretending D and goalies don't exist)
1963: Forward drafted by NYR played 0 combined NHL games. 0 HoF forwards available at time of NYR picks.
1964: Rangers draftees of note: Tim Eccleston, Syl Apps. Apps did most of his production with Pittsburgh. 0 HoF forwards available at time of NYR picks.
1965: Rangers draftees of note: None. This entire draft is unmemorable.
1966: Rangers take D Brad Park in the first round. Only forward draftee of note: Don Luce. Not counting the fine Park pick, no memorable forwards available at time of NYR picks.
1967: Rangers draftees played 0 NHL games. No other memorable forwards.
1968: Rangers draftees played 0 NHL games. No other memorable forwards.
1969: Rangers draft Andre Dupont and Pierre Jarry in the first round and pass on Bobby Clarke twice. No other HOF forwards.
1970: Rangers draft no one of note in this draft. All the elite players are gone before the NYR picks.
1971: Rangers draft Steve Vickers and Steve Durbano (LOL). No HoF forwards available at time of NYR picks.
1972: Rangers draft the only 1st rounder who never plays a game (Al Blanchard). No HoF forwards available but some good Fs available later (Nystrom, Al McAdam, Peter McNab)
1973: Rangers draft Middleton. No HoFers available at time of NYR pick.
1974: A rare decent NYR draft. D Dave Maloney first round, Greschner 2nd. Bryan Trottier went 2nd round ahead of Greschner. Charlie Simmer (non HOF) went 3rd round.
1975: Rangers draft Wayne Dillon in the first round. No HoFers available, but the Rangers picked John Corriveau who never played a game a spot ahead of Dave Taylor in the 15th.
1976: Rangers draft Don Murdoch. They pass on Bernie Federko who goes a spot later. Non HOF, but Kent Nilsson goes in the 4th.
1977: Rangers take Lucien DeBlois and Ron Duguay, passing on Mike Bossy twice.
1978: Rangers take Don Maloney in the 2nd round. No HoFers available.
1979: Rangers take Doug Sulliman in the 1st round, passing on (non-HOF) Brian Propp, but also Michel Goulet, +Mark Messier and Glenn Anderson (taking Ed Hospodar in Round 2).
1980: Rangers again take the only 1st rounder who never plays a game (Jim Malone). Jari Kurri + Bernie Nicholls are available until the 4th round. Non-HOF, Steve Larmer in the 6th.
1981: Rangers take James Patrick, so not counting this pick against available players. No real forwards of note available at time of NYR picks.
1982: Rangers take Chris Kontos one spot ahead of Dave Andreychuk. Doug Gilmour is available until the 7th round. Rangers at least draft Sandstrom and Granato.
1983: Rangers take Dave Gagner who of course is traded before his best years. No HoF available.
1984: Rangers take Terry Carkner 1st round. TUFFNESS! Brett Hull lasts until the 6th round, no Ranger pick before that besides Carkner plays 500 NHL games.
(NOTE: Non-HOF Cliff Ronning is available until the 7th, HOF Luc Robitaille until the 9th).
1985: Rangers take Ulf Dahlen. Joe Nieuwendyk goes 2nd round. Not counting Igor Larionov against NYR because Russian players couldn't legally play in the NHL yet.
1986: Leetch! Also notable for Turcotte in the 4th but NYR traded him to a dead end situation in HFD and he started getting hurt.
1987: Rangers draft Jay More in the first round, missing out on Joe Sakic. 2nd round they take Daniel Lacroix, missing out on non-HOF John LeClair.
(NOTE: Non-HOF Theo Fleury available until Round 8 - Rangers took Mike Sullivan and a bunch of guys who never played a game with their post-Lacroix picks)
1988: Rangers draft Troy Mallette in the 2nd round (and a guy named Murray Duval). Mark Recchi is available until the 4th and goes one spot ahead of NYR pick Amonte.
(NOTE: Again not counting Mogilny against NYR. Hell, if the Rangers drafted him, Russian players would probably still not be allowed to play in the NHL /sarcasm).
1989: Rangers draft Steven Rice. No non-Russian HoFers available. (Bure, Fedorov)
1990: Rangers draft 1 of 2 1st rounders to not play 1 NHL game (Michael Stewart). They pass on Keith Tkachuk.
(NOTE: Non-HOF but Weight in the 2nd - and Zubov - saves this draft, but of course Weight is traded before his peak too). Also of note Peter Bondra goes 8th round.
1991: Kovalev. Also traded before his peak. IMO great pick, but bad development of him.
1992: Rangers take Peter Ferraro. Not a notable draft.
1993: Rangers take Niklas Sundstrom. Some very good players in this draft but the only HOF forward (Kariya) was already gone.
1994: Rangers take Dan Cloutier. Also traded before his best years (for the Pavel Brendl pick!). Non-HOF, Patrik Elias went late 2nd, Milan Hejduk 4th. HOF Alfredsson in 6th.
1995: No NYR 1st round pick. They take Christian Dube in the 2nd. Passed on some decent players to pick Dube, but no one elite.
1996: Rangers take the other Jeff Brown, 1 of 2 players to never play NHL hockey. Passed on non HOF Danny Briere, no other real Fs of note.
1997: Rangers take Stefan Cherneski who gets injured, never plays. No one really of note available.
1998: Rangers take Manny Malhotra. Non-HOF, but Simon Gagne and Scott Gomez were available + Brad Richards goes 3rd round after the Rangers took another non-NHLer in RD2.
1999: Rangers take Brendl + Jamie Lundmark. Non-HOF, but Zetterberg is available until the 7th round. No one else really of note. The Sedins were gone already.
2000: Rangers don't pick until late 2nd. The options available were all irrelevant AF.
2001: Rangers draft Dan Blackburn. All the elite talent was gone already.
2002: Rangers draft Lee Falardeau in the 2nd round. 0 NHL games. No HoFers or elite talent available.
2003: JESSIMAN. Passed on (non-HOF) Parise, Getzlaf, Corey Perry, Loui Eriksson, Patrice Bergeron. Also non-HOF, Joe Pavelski available until the 7th.
2004: Rangers take Al Montoya. A few very good players (David Krejci) but no HOF players.
2005: Marc Staal. No one that memorable, and the Staal pick wasn't really bad so can't complain here.
2006: Bob Sanguinetti. Non-HOF but Claude Giroux goes one pick later. Brad Marchand goes 3rd round (after NYR picks Anisimov). No one else of note.
2007: RIP Alexei Cherepanov
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one of the picks I was most excited to see.
2008: Del Zotto. No memorable players available.
2009: Kreider. Not a bad pick at all but took forever for the team to give him a chance to live up to his potential. Should've been a regular by 2012-13.
2010: MCILRATH. Non-HOF but Tarasenko, Jaden Schwartz, Kuznetsov, all could've been had.
2011: JT Miller. Again traded before his peak.
2012: Skjei, not a bad pick given the talent available.
2013: Rangers didn't pick till the 3rd round and took Adam Tambellini.
2014: Rangers take Halverson late 2nd round. Non-HOF but Brayden Point was available.
2015: Rangers take Ryan Gropp. LOL. Kirill Kaprizov is available all the way until the 5th round and has put up some Kravtsov like numbers as a young kid in the KHL.
2016: Rangers don't pick till 3rd round and take Sean Day.
2017: Rangers take Chytil and slow play him the first 5 years of his career. Not even going to talk about their other first rounder, which could've been Necas or Suzuki.
2018: K'Andre solid pick, Lundkvist not. Rangers took Kravtov at #9 with Kaprizov like KHL numbers (see 2015). The best guys the Rangers passed on at #9 were all D.
2019/2020: Not going to comment on Kakko/Laf till we see what their careers look like or the Rangers (probably stupidly, if they do) trade them.
**Disclaimer: For active and recently retired players, I've arbitrarily determined their "HOF" and "non-HOF" status according to my own criteria of whether or not I think they will get in someday. This is very unscientific, and I might be wrong about some of those guys in the end, but it's a way to categorize active players according to the same standards as historical players, even if it makes me a one-man induction committee.**
So to summarize, it's as much about trading your top picks, and being irrationally drawn to players that aren't good, as well as not giving your young players a chance to develop as anything else. It's not that the Rangers' selections have been consistently horrible, it's that they don't give guys a chance to succeed here as an organization (as evidenced by the first round picks who never played a game, or all the guys that got traded and did well elsewhere). That to me is the bigger problem than their scouting.
But feel free to do with the above as you'd like. I realize it may look a little revisionist to say "OMG the Rangers passed on Doug Gilmour until the 6th round" when 20 other teams did also, but the point of this exercise was who "could" the Rangers have taken, not who "should" they have taken. The thing is, every other team in the league seems to be able to either find scoring late in the draft, or actually develop their highly touted top pick into the scoring role he was drafted for.
I was willing to give them a pass because of the relative few years where they chose top picks (and you could blame Lundmark/Brendl on bad draft years and small sample size) but after watching them slow play Kreider and now watching them slow play Chtyil, Laf, and Kakko, I really think the problems run deeper.
TL;DR - the Rangers suck hot ass at drafting and developing elite homegrown forwards.