#4: Civilization
#5: Dune
#6: Up Front
#10: Squad Leader
#13: Diplomacy
#17: Titan
#23: The Russian Campaign
#26: Wooden Ships and Iron Men
Like Crothian, it has been some time since I played many AH games, so a lot of this is from memory.
First, I'm rather surprised that I've only played eight from your list. I notice that Third Reich isn't on the list, nor is Rail Baron, Victory in the Pacific, and several others we played constantly. Different tastes and all that...
Civilization was fun, though it took several games to learn how to transition from the the the early game to mid game to end game. I don't remember any of us really mastering this one.
Dune - chalk me up as another fan boy of this one. We played this one even more cutthroat than Diplomacy, and as MC has said, there's always something new to discover. I really wish someone would print a few thousand additional copies so the rest of us could get one (we played a friend's copy, so I don't have my own).
Up Front - We enjoyed this one, but preferred Naval War.
Squad Leader - We never played the Advanced version. The original was good, but suffered from all of AH's tactical games - determining line of sight could be a real pain at times. Also very subject to getting hot/cold dice - bad luck on a few morale rolls and you're toast. I still remember when we learned how to use smoke to infiltrate buildings (the German player was not amused...

)
Diplomacy - I disagree with the earlier comments. This game is much more fun with friends than strangers. Just be sure everyone knows going in that stabbing someone in the back is a normal part of the game (but not required). And have something else available for people to do as they are wiped out.
Titan - I remember two things about this one. We loved the game. And we never, never, never finished a game. Finally stopped playing when we realized we'd be old and gray before a game actually came to an end.
Russian Campaign - Very flawed, abstract game. Loads of fun, we used to play this with three players (two German, one in the North, one in the South). We very rarely saw the Germans defeated. I still remember the one game where, as the German player, I suddenly realized I no longer had enough units to keep attacking and moved onto the defensive. The shift literally occurred in one turn, the change of initiative happening that quickly. In a typical game, if the German can simply keep from losing many units while attitioning the Russian, the game is usually over by late 1942.
Wooden Ships and Iron Men - Potentially a fun game with a very clunky system for playing. I understand why we used written orders and such, but very tedious. This is clearly a game that would play much better on a computer than on a board. I just always felt this was a game with 15 minutes of fun for roughly every hour spent playing.