Time Splitters 2 is a first person shooter with controls very similar to Golden Eye. The main joystick is your movement while the yellow joystick controls the camera. You collect plenty of weapons throughout the game (guns, knives, fire extinguishers), but all guns have limited bullets so be sure to pick up plenty of ammo!.
Each time period will give you a different set of objectives you must accomplish to complete it. Sometimes, the objectives even change as you are going through the level, but the game will be sure to let you know. There is a handy screen that shows your weapons and your objectives (plus how much of it is complete if it is that sort of objective).
Time Splitters 2 has a few different play options. There is Story Mode which can be completed with a single player or in co-op mode (I preferred co-op mode). The Story Mode can also be fought on three different difficulty settings, with each setting unlocking something new for a different game mode. There is a Challange Mode which is a bunch of minigames and finally, there is the Golden Eye like Arcade Mode in which you and up to four friends and go at it in any number of settings. Like Golden Eye, there are different types of battles you can have using certain weapons, rules and so on. Most of them are a basic death match style of battle, but the options make it a lot of fun.