I know what you mean about the classic thing, stories I've heard of back in the day are crazy, bit too young for that myself.
My experiences of classic bikes are mainly the bikes my dad and myself own the list I've tried range from 1914 Side Valve singles right up to modern bikes but of the era you are looking at and style wise I've ridden; Norton ES2, Vincent Comet (Not ours), BSA A10 (Goldflash), Triumph T160 Trident and Norton Commando 850 MK3. All have their plus and minus points but the T160 and Commando are amazingly fun to ride, the commando has such sweet handling with an extremely broad range of torque, it will pull from 30mph in top gear without effort. The T160 again has good handling but a far more revvy engine which is a lot of fun to keep it on the boil howling away.
I also have a Triton project that is in numerous pieces and locations, really cannot wait to get it together!