Universities: look at (in no particular order) Glasgow, Southampton, Kingston, Bath, Loughborough, Imperial, Sheffield - all run excellent Aero-eng courses. The precise content varies with university, so you are likely to pick a course by what interests you most, rather than quality - they are all good.
As for sponsorship, it's still there - mostly with the big organisations such as BAE, Qinetiq, Airbus, Westlands. The competition is stiff, but it's well worth trying for.
One warning, watch out for "aeronautical science" courses - if you want to be a Chartered Engineer, you must graduate from a course that is Engineering Council accredited, these usually aren't. Basically look for the BEng and MEng degrees, as opposed to BSc.
G