What I have used
A) old Polytone Mini-Brute II, 80 watts, 1x12", not enough power beyond drummerless gigs or with a quiet drummer
B) Genz Benz Shuttle 3.0-10T, 185 watts, 1x10", works for the rhythm group of a big band, winds cannot hear me at the other end of the stage.
C) ACES top (really old), 150 watts with 70 watts 15" fender cab, works for small to medium combo classical jazz, but have to care not to overload the driver.
D) Carlsbro Delta 600 with 15" fender cab (replaced the driver), 600 watts (400 with the 8 Ohms cab), 1x15", loud enough for anything I can think of, but needs a high impedance preamp and the 15" driver is too large. This is rather an electric rig, but can work as a backup.
I would recommend at least 150 watts for a solid state amp. The more the better, but 400 watts would be plenty. Driver between 12" and 8" unless you have a special cab like the news from Mike Arnopol or a Phil Jones combo. For anything smaller than 12" you might need more than one driver or an extension cab (to keep things light if you don't need it).