Sonic Defender
Headphoneus Supremus
Oh....
Assuming the output impedance is low enough, and you have enough power (i.e. you are not clipping) then it comes down to some amps sound slightly different than other amps.
If the output impedance is low enough, they should all have flat frequency response.
I once talked to the guy who designed a few amps for Sonic Frontiers.
He said as far as he is concerned, not all well designed amps sound the same.
Personally, I can't give you a good reason why that would be, but there it is!
Voodoo perhaps?