I ran a search for deep-pink hybrid teas from the United States after 1960, and the popular ones are Breathless, Elizabeth Taylor, and Fame. HMF also lists Timeless as deep pink, but that rose is so red it's almost orange.
I tried searching for deep-pink hybrid teas without any other characteristics and got back volumes of possibilities, so that's why I added the U.S. and after 1960 criteria, but Kordes, McGredy, and Meilland roses (among others) have always been popular here and they wouldn't be in that search.
The two types of thorns aren't really that uncommon.
