First of all, I actually did the poll correctly this time! yay for me!
Secondly, I like Team Objective because it stresses team. Then Horde Mode because you work together and its a shared experience towards achieving a high goal with cooperation. Then I selected Elimination because it makes the stakes very high. The only game I like Capture the Flag in is Halo. I like how its done in that game, but not as much in any other game.
I am not a big fan of deathmatch unless its with the feeling of actual teamwork like in Halo where you can team-up on a vehicle or defend locations. I like how its done in Halo, but am not a fan of Deathmatch in a game such as COD where its all about hiding, camping, etc.
The games I like the most are games like Halo or Gears of War. Horde Mode is really fun because you feel like you are part of a band of brothers, so the more that’s played up with drama, the better. Brink has this type of feel particularly on a map like CC at the part where you escort the bot through the Shanty town of the Resistance after you fix the crane. Firefight is a fun mode in Halo Reach.
L4D 2 has some innovative modes that are like Horde Mode or Firefight. Holding a position is very intense. Territory Capture is also a cool Mode in Halo, and there is a similar mode in Gears 3 which they call KOTH or Annex.