Entertainment Weekly's Best Adventures

Netflix really is a gem. It's got almost all of the revival episodes, and some of the highest-regarded classic episodes. The first Doctor Who Entertainment Weekly issue gave a list of each Doctor's best episode (more on that here) and with the exception of William Hartnell and Colin Baker (There are no episodes with him, aside from the end of Caves of Androzani when he is regenerated in to.), all those episodes are there, plus some more.
According to EW, the best adventure for each doctor was:

1. William Hartnell-An Unearthly Child (The first episode. I've only been able to find clips of it on youtube. Let me know if you know of a free way to see it in its entirety.)
2. Patrick Troughton- The Mind Robber
3. Jon Pertwee- The Green Death
4. Tom Baker- The Ark in Space
5. Peter Davison- The Caves of Androzani
6. Colin Baker- I don't remember. I couldn't find the info online; this is pure memory recal from four days ago. Possibly Trial of a Time Lord
7. Sylvester McCoy- The Curse of Fenric
8. Paul McGann- Only had one television appearance, the made-for-TV movie.
9. Christiopher Eccleston- The Empty Child/The Doctor Dances
10. David Tennant- Blink (I must disagree with this one. The Doctor didn't appear much in this to really warrant it as his "best adventure.")
11. Matt Smith- The Doctor's Wife