Please bear in mind that this is a short wheel base airhead. When the first R75 was released, it also had a short wheel base and suffered from complaints of a slight instability - the result was a lengthened swing arm and the longer, larger capacity airheads.
But the main difference between the R65 and its larger rivals is again the swing arm length. The fork rake and trail is the same or very, very similar. But it has the shorter swing arm, which is why the rear shocks are different length to those fitted to R50/60/75/80/90/100.
Check your bike over thoroughly and make sure that everything is working as it should be, then rejoice in the fact that you have nimble bike, rather than a long, lazy tourer. The bike was originally marketed as a mid size bike with mild sporting pretentions.
When I rebuilt mine all those years ago, as a café racer, I also found a little wayward/playful wag of the handlebars at certain speeds, especially when I was having fun. I thought about a steering damper, but as the 'wag' never manifested itself as anything more sinister, as long as I was holding the handlebars, I never bothered. I am not sure it even does it now. But that might be because I running a 19 inch front wheel rather than an 18 inch one
If a little head shake still bothers you, buy the BMW steering damper. Otherwise put it down to a little exuberance.
Cheers
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