Looking in my Trophy room I have a few 2-5% (Ultra Rare) trophies relating to Hardcore play... so no, there are not a lot.
I picked up the game about three months ago and have only played HC mode. My buddy and I play almost daily and we are floating at 420 and 520 Paragon. I have all 6 classes at level 70, and my main Crusader and DH are T10 adventure mode and GRift 50+ solo.
If you can get a Gem of Ease to 25 and then get a level 70 Ancient 2H Sword to drop, you can turn it is level requirement to 1 and power level any class solo to Level 70 before finishing 2 beers. It makes the thought of dying 38% less painful.
If you need help, let me know, and if I am not tied up I will help.