VICE is excellent, supports many cbm platforms - I first got it to watch Robotic Liberation, a VIC-20 demo
CCS64 has been a solid companion since, oh before I was born (c) Obi-Wan
Frodo is a new experience for me, on my GP2x, seems to be fine, just like VICE on GP2x.
And for games I usually go to pl*netemu.net and choose at random :P I usually choose the cracked and trained ones, cos some C-64 games are just b*stards to play nowadays, at least without a real computer, since ICBA to hook up my C128...
All 3 take zipped disk images afaik.