I like a nice, heavy brasshead bridge with rounded edges. Preferably the one shaped like an x. These bridges are heavy so they stay in place, and the cue glides smoothly through them. Im sorry, but plastic bridgeheads are inferior on every way to the quality brass ones. The only reason why I have a moosehead bridge in my case is to be ready for situations where no bridge is available.
Other than snooker (where the "X" rest comes from), the closest you'll find to that design in the pool world is the London Bridge, and it's actually quite good:
Although not as heavy as a brass bridge, it is by no means flimsy like those poorly molded moosehead bridges are. And with the same "X" design, the place where the cue rests come to a much finer point than the "U"- or cup-shaped grooves found on normal bridges that allow the cue to wobble around in. Thus, the same level of accuracy as the brass "X" rests.
It works great, and fits in the lid of your case (i.e. with the extended rubber grommet tube facing down into the case itself, between the shafts and butts).
-Sean