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Sony A5000 can be had for about that much
https://www.ebay.co.uk/itm/Sony-Alpha-A5000-Mirrorless-Digital-Camera-Kit-with-SELP-16-50mm-Lens-BLACK/253272147621?epid=219521227&hash=item3af83246a5:g:nksAAOSwzgBY3R1OOtherwise you're probably looking at a micro 4/3rds like this
https://www.ebay.co.uk/itm/Camera-Digital-Mirrorless-Olympus-PEN-E-P1-14-42mm-warranty-6-months/352221302907?hash=item520206907b:g:No0AAOSwuTtZ3Pfq
Want an electronic view finder, or happy with just a screen ?
Probably at that price range a second hand micro 4/3 camera from Panasonic or Olympus with a kit lens.
Maybe an older Sony such as a NEX-5N, although Sony glass going forwards is a tad more expensive