Something to consider / realize....
Every player the Leafs add, means one must go out the door. In fact, Toronto is already over the cap if everyone gets healthy, and would either have to run a 21 man roster (6D), or waive Pierre Engvall. Now, come deadline, there may be a situation (like last year with Andersen hurt) that allows the Leafs to make additions knowing that they've got players on LTIR until the end of the regular season, but unless that happens, the Leafs have to look at it as player in - player out.
That being said, I think you can lump the suggested players into a few categories.
1 - Defencemen
I think many would agree that the Leafs could probably still use a Bogosian-replacement for their bottom pair. This might mean bumping Liljegren back to the AHL. In a less conventional way, the Leafs may consider swapping out a guy like Travis Dermott, who despite being quite solid and versatile, has been somewhat stuck in no mans land of development for the last little while. If looking at a guy on a 1-year deal, there may be the ability to use Dermott as a way to reduce cap hit so that the Leafs can have a 22-man roster.
I'm not so sure that Colin Miller brings much of anything different to the mix than Travis Dermott other than being from the Soo and having played for the greyhounds. He's been very irrelevant since moving to Buffalo. There's also the challenge of cap.. even at 50% retained, he's more expensive than Travis Dermott by $400k. That being said, the $400k difference could theoretically not matter, as the Leafs are over the cap by $400k, so whether you have a 21-man roster with 0 space, or $400k of space, doesn't really matter, given that neither is large enough to bring back Liljegren.
Justin Braun on the other hand could be a really interesting target. He's physical, has good size, and with retention, could represent a $600k cap savings on Dermott. Philly has all 3 retention spots open, so could be an opportunity to grab a young defenceman at a great value because of Toronto's highly specific circumstances.
2- Centres
Personally, I think the Leafs are actually pretty happy with what they've got at centre. If they lose a top 6 guy, they've got Kerfoot or even Spezza could theoretically step up. The only guy they're not really able to lose is Kampf given his utilization. Nick Bonino likely fits this role really well, but does have a 2-year deal, meaning it's unlikely the Sharks are going to retain. That puts him in a position of having to remove Ritchie from the lineup, and I'm not so sure the Leafs really want to do that.
For Cogliano or some of the other guys, maybe there's something to be done with Mikheyev and/or Engvall... but I think you're really splitting hairs.