I like a bit of a roleplay. Something creative and original, with decent builds and nice people who are capable of roleplaying together without getting in each others way or being silly or ruining the fun for others.
But then again, every now and then, I like a good build. City build/roleplay servers are nice for me because they provide me with a blend of the two, and I can tend to try something new and fancy.
Deathmatches are annoying for me however, on the basis that I've never liked Blockland fighting. A mix between the odd tactics (jumping and crouching a lot and just strafing) and the fact that I've always been laggy as a disadvantage or just plain terrible.