There are various tables on the LAA (formerly known as PFA) website, but nothing that quite does what you're describing.
I'd recommend spending £6 or whatever it currently costs on the World Directory of Leisure Aviaition - available from the usual shops and suppliers, which is the nearest the little aeroplane world has to Janes, as well as being vastly cheaper!
As for meeting your spec, the aeroplane on the LAA fleet that first comes to mind would be a Jabiru J400. Several of the Vans aircraft will also do this, but are somewhat expensive.
G