From experience/knowledge.. what would everyone say some of the best bikes are for a restricted liscense?

My dad isn't too keen on the idea of restricting a bigger bike so I guess it would have to be one that's already at the requirement or a little less. I would love a Ninja 250 but it's got to be an affordable bike within 1-2k give or take a few hundred.. which for me is difficult to find one that will look good, be quick(im not looking to be speeding everywhere but I also don't want to be doing 10-20mph more than I do on my 125) and it's got to be bearable for the 2 year restriction..

If anyone has any suggestions, I'm all ears