Both you ladies pretty much covered. However I like this about UAE.
Mountains: Al Ain park.. Al Ain to Bureimi easy access,
Dibba, Hatta Pools, Al Ain hot springs, Al Ain Mountain
Beaches: Khor Fakkan near Fujeirah
Islands: Diving near snoopy island, mussandam..
Outdoors type things.. oh and buggy riding and desert safari!!! and going for bbqs overnight and chalets in fujeirah! and mamzar park!! and wild wadi and atlantis water park!!! sharks!!! oh and umm
all the malls especially Dubai Mall and IBM and MOE... loveeeeee shopping in DUbai!