The MT&R has plenty of game shows... I couldn't possibly give an exact number, but off the top of my head I know they have the following:
- Wheel of Fortune w/Chuck Woolery (several episodes)
- The Moneymaze (one episode)
- Hollywood Squares (several Marshall eps, including one hour-long special)
- Tic Tac Dough ('50s pilot and several '70s episodes)
- The Neighbors (w/Regis Philbin)
- TPIR (some Cullen eps and some Barker eps)
- Password (several '60s episodes)
- High Rollers (two '75 eps)
- Jeopardy! (several Fleming shows including a '64 "test" episode)
- Match Game (a '60s color episode, the pilot, and at least one '80s syndie ep)
- Match Game/Hollywood Squares Hour (one ep)
- $20,000 Pyramid (one ep)
- Nothing But the Truth (pilot for To Tell The Truth)
I know I'm leaving out some... Jason Hernandez used to have a page with a more detailed list, but I don't know if it's still around. A few of the episodes in the MT&R's collection (most notably the color Eye Guess episode and the 2000th Fleming J!) have been shown on GSN, but the vast majority haven't. Not all episodes are available at both branches -- some of them are in the main collection, some are in the archives, and some have to be requested from the archives and transferred (a process that usually takes a week or so) before they can be viewed.
The UCLA archives aren't available to the general public, and IIRC, you can't necessarily just walk in and watch what you want even if you're a student; there are rules as to what you can see because not everything is in a readily accessible format.