I have four dice bags (hah!):
One for RP dice (lots of polyhedrons)
One for wargame dice (lots of d6 + scatter dice, etc.)
One for CCGs (lots of counters, and a couple of dice)
And another small pouch for my jade die set.
The RP dice bag is very large, nice leather, with thick leather strings that should hold up for an eternity. It is filled with p0lyhedrons of various designs—some transparent, some translucent, some shiny, some patterned, etc. I love the "gem bag" feel to it. I also have a 100-sided die in this.
The wargame bag is small and leather, and barely fits all the little d6s & a few other GW dice. Altogether, it's a lot of dice for making mass d6 rolls. (Most are white, a few are red).
The CCG bag is a green suede, with string that doesn't stay tied well. It has all my gem-like tokens for use in CCGs that require tokens; I have a few different colours. It has a couple other markers, and some dice to help, too (including 2 d20's).
The last pouch is small and leather, and countains my set of dice which are all jade. This is the only "set" that I keep separate.