>>1885838>That's exactly where the play is. Stem is solid but the fork is what moves forward and back. The wheelbase of my bike changes by at least an inch due to it.Ok so that's fucked. Your headset is WAY too loose and likely something is wrong in the way it's assembled. Take it apart, look at some RJ videos, and put it back together with fresh grease.
>What are some good brands/models to look at in the roughly $150-350 range \It doesn't work like that. Practically every brand made good bikes and for vintage the best are often quite esoteric. I hadn't even heard of most of my bikes when I saw them for sale. It doesn't help to look for anything specific, but more, to understand the marks of a quality bike, and one that is in good condition. Which is a complicated thing. That sekai is an excellent high spec bike, and very beautiful. But it is older than I would normally recommend to people, and that makes it more difficult to work on, source parts for, and with less utility.
Post a link to your local craigslist if you want recs.