I'm not big on tag team wrestling but here's a shot at it...
1. Tully Blanchard and Arn Anderson / The Brain Busters - I am a big fan of both guys and they fit together almost perfectly.
2. The Steiners - Best power team ever and Scott could do pretty much anything in the ring during their prime.
3. The New Age Outlaws - Fun team and the best example of taking two guys who suck and creating something surprisingly good.
4. The Fabulous Rougeaus - I guess I'm a mark for all-American tag teams, and this is the best one.
5. The Hart Foundation - Late 80s into 90s Bret Hart is the best wrestler who's ever primarily been a tag team wrestler and they work very well together. In many ways the archetypal tag team.
6. War Machine - Can have a variety of match types and they're all pretty enjoyable. Unfortunate about their current state.
7. Harlem Heat - Booker T was able to carry a lot of entertaining matches for them. Stevie Ray was big at least.
8. The Briscoe Brothers - Great believable aura around them, really unique gimmick and Jay takes care of the in ring work well.
9. The Heavenly Bodies - Obviously Cornette's best tag team. Mainly due to Gigolo Jimmy.
10. Vader and Bam Bam Bigelow - I had thought that this would be a great team before I found out that it actually existed. Insane combination of size and agility. I still need to seek out more of their matches.
Honourable Mentions - Vicious and Delicious, The Revival, The Miracle Violence Connection, The Spirit Squad, Hardline Collection Agency, Kobashi and Misawa, The Fabulous Freebirds