From The TimeSplitters Wiki

There are many glitches, though the most include the use of the only vehicle in Arcade: Its Buggy.

- Blue Base: To get "inside the inside" of the base, you must drive the buggy into the small crevice between the long wall and Blue Base. The vehicle should be stuck in the crevice, continuously attempting to drive by itself into the side of the base. Get out of it and be sure you can step into the wall, and Viola`. Now you are inside the inside of the base, though in a different dimension. Other players can only see your tag above your character. You are virtually invisible! Cool Tricks Check it out, and you'll see a weapon to the far side of the glitched area. Run to the edge of the glitch and be sure you are aligned with the weapon. Now, run to it! Instead of falling into the abyss of the level, you can make it to the platform and grab the weapon. Now turn left from there, and you'll see the entrance of the base to the far left. Run straight forward until you are adjacent to the entrance. You should not have died, making it across the invisible bridge. Now, turn left and go into the entrance. You have gone back into the "real" dimension of the level. Just look behind you. Now you can see the entrance, along with the inside of the base.

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- Yellow Base: