Wow, 80 bucks and some free leaves. Looks like a heavily Bubba-fied Manco-something.
My bare minimum is a functional roller like WTR said, with all his conditions met: 4 wheels/4 tires (any condition or at least good enough to tell what the tire size was), steering wheel and I usually require a seat if it is separate from the frame. There's rarely a seat cushion involved (vinyl and foam) which is okay and something I can to live with. One of these days I'm going to learn upholstery....
If you know you can replace a missing steering wheel, for example, with something readily available (a drop-in piece) then you can plan around it, but the whole idea is to save money. I really don't want to be on the hunt for a Manco or Kelch wheel like what was on your Brister's.