Slightly off topic, but something I've always wondered: why are serif fonts easier to read in print, and sans-serif easier to read on screen? It's true, for me, and apparently for most people (which is why sans-serif is usually suggested for game fonts). I just wondered if the Internet smartguys know anything.
To answer your question, most serifs you'll find are horizontal, especially at the bottoms of letters. This helps your eyes move across a page in the direction of the text. One of the most common places you see serif fonts is on newspapers, which have a lot of small text. They're still easy and enjoyable to read, though, because of the serifs.
A computer screen is a different story, however. Monitors display images and text using pixels, which can only be one color at a time. This presents a problem to serifs, which are very small. Generally, a pixel is too big to accurately represent the finer parts of serifs, so serif fonts look blocky and less legible.
As for the discussion question, I'm a sucker for serif fonts, so I'm a big fan of Palatino, Garamond, and Georgia. For games, it really depends on the atmosphere you're going for. Master of the Wind uses Anime Ace, which is an all-capital comic book-style font, but it works for that game because it's trying to be comic-book-esque. Currently, the font I'm using for the game I'm working on is Garamond. I realize it's a heavily serifed font, but the game is very serious and Garamond actually adds a very nice texture to the atmosphere.