In my experience, closed-back cabinets seem to "project" better than open-backed cabinets. What this means is that the sound in front of the cabinet is more focused / defined. As well, the sound moves outward further from the cabinet. An open-backed cabinet, on the other hand, will allow the sound from the speaker to reverberate behind the amp, and then off of whatever is behind it. This creates more of an "ambient" sound, which sometimes equates to the guitar tone being run through it as having more "headroom" - i.e. spatial depth. Both types of cabinets have their advantages, and as TS808 has mentioned, the closed-back types enhance the bottom end, or bass timbres, of a tone.
Myself, I use a Peavey 112E extension cabinet with my Classic 30 amp, and it offers the best of both worlds. The amp has an open back design, which allows for singing highs and open mids; and the x-cab has the closed-back design, which results in a nice, focused low-end.
Depending what type of music you play, as well as where you'll be playing it (clubs, outdoor gigs, practice rooms, garages, basements, etc.) both types of cabinets will offer you different benefits.