The first thing I do playing any game is look for glitches, Ignore most of the cut scenes, jump around, test the game mechanics, look for invisible boundaries, try to kill npc's, and generally do anything the devs might not have thought a player might do.
For example, on my first run through of the Halo 2 campaign I flew a Banshee into the last boss area, glitching it through the door. I had never seen anyone do it before, and had never even heard about it, but I did it. This exposed how flawed the game was, I could shoot the last boss indefinetly but he wouldnt die until a certain trigger had occured.
In Gears Of War I played football with the hilariously stupid physics of the rag-doll bodies.
In Heavenly Sword I carried one soldier on my back through every level.
In the Conan Demo I jumped and rolled around the whole level with all the enemies chasing me. (There is no limit as to how long you can do this, the enemies can't stop you).
In WoW I reached an area only meant for people with flying mounts.
I should really be a games tester or something, I'm a natural. :)








