Norway is difficult, I think that OTL RN could have stopped the invasions of Bergen, Trondhiem and Narvik, and mounted successful lands of their own in these palces. But stopping the landings in Oslo and Kristiansand, and the conquest of the south of the country, is beyond OTL Allied forces. So that leaves us with a front in central Norway, as France is invaded.
France is worse than Norway. I think perhaps the best that could be hoped for there is to escape the encirclement and evacuate from Normandy with most of the equipment. However this would have momentous after effects. Saving the BEFs equipment means that the invasion scare isn't so drastic, and a pool of equipment is available for use overseas from October.
Nth Africa, Greece and Crete are interlinked, I think the best bet there would be to avoid Greece and concentrate on Nth Africa before Rommel arrives. Also I'd reinforce Crete as much as possible, it would be a handy base if it was held. Malaya/Singapore could also benefit mightily from avoiding Greece and taking Tripoli by April 1941 since the Australian and Indian divisions plus substantial air and naval forces would be available for redeployment to Malaya months before Pearl Harbour.
As for Dieppe, I think the conception was good enough, but execution was bad, so the only options there are success or abandonment.
None of these things require equipment changes, just changes to decisions, priorities and possibly most important, timings.