I have an 6.5Kw SR2 US gov't contract unit just like Sfene & Apogee describe. I got it for $800 complete from a craigslist ad.
Turn key electric start. I'd advise that you start with that, then look for a "roid if that's what you want.
Having a twin, I'd suggest you get a single.

I keep an eye out for interesting engines, and Lister(oids) are fun, but not the only ones.
Honda key start gas generator might be the final emergency generator for the wife.
I have electric start Onans that used to reside in motorhomes. Cheap!! These relaible units are a bit smelly, and use a tad more fuel. But I like the relaibility of last resort, and ease of maintenance.
Aw heck!! COLLECT THE WHOLE SET.
