On my allotment, which is heavy clay (now improved) I grow:
blackcurrant (Johannisbeere), raspberry (Joan J and Autumn Bliss), blackberry (Oregon), loganberry, tayberry, jostaberry, gooseberry (Invicta), damson (Shropshire Prune), plum (Oulins Golden gage), pear (Concorde), apple (Queen Cox and Winter Beauty) and cherry (Summer Sun I think). All these appear to be OK in London.