What type of breakers are best for audio

You really don't have too many options. Each panel manufacturer uses different breakers (their own) which are not interchangeable. Breakers also must be sized so as to not allow too much current to a specific wire gage. I'd stay away from GFI (ground fault interrupter) type breakers with their extra sensing circuitry.

The National Electric Code sets the standards regarding electric panels and breakers. Any licensed electrical contractor can inform you better of the permissible options.

Breakers are inferior to fuses, both protection-wise & sound-wise. I've tried some different fuses on my dedicated line & found that a glass fuse sounded brighter/harsher than a ceramic fuse, which was noticably better.
This was an interesting experience because of the way it happened. We had storms in the area one day, so the audio rig was shut down as a precaution. I was downstairs & decided to try a different fuse, because I had read about it here. So I changed it & then forgot about it.
The next morning weather was clear, so I fired up the rig just playing the tuner. I thought things sounded warmer / more mellow, but just went about my Saturday's work outside. Coming in & out of the house I kept hearing the improvement & wondering what had happened (I had forgotten about the fuse change)? Even my wife was asking about the improvement later that day, so then I got to thinking & finally remembered the new fuse. So we played some CD's & there was no doubt once we began critical listening & the rig was warmed up again.
Regarding your electrical panel Clark, I suggest adding an outboard FUSEbox alongside your house breaker box & run the audio circuits from that point.

While I do not doubt Bobs experience really happened. I have to question the outboard box suggestion. The current must still flow through 100 or 200 amp mains breakers as well as the branch off breaker to the outboard box.The best A/C panel to use is SQUARE D company; The industry standard.
Bob is absolutely correct though,fuses are, without question better than circuit breakers from a sonic standpoint