I have a pair of V-twins, but they're not choppers...
Moto Guzzi 850T (modded into a cafe racer) and Moto Guzzi 1000SP. The 850 is actually more fun to ride.
Owned a few bikes in my life (Honda CB100, CB500 four, CB650x2, Suzuki GS450 and the 2 Guzzis), only destroyed one (the GS450, came off at high speed due to tankslapper caused by leaky fork seals... Learnt the hard way about maintaining your bike).
I still want a '96 Honda RVF400R (NC35). It's a work of engineering genius. One day when all my higher priority stuff is paid for.