Audra, Welcome to the wonderful world(s) of role playing games.
DnD is just one of very many RPGs. I’ve got a lot of great character stories like the Falconeer who’s falcon was the most dangerous character in the party, a hyper religious and slightly insane mage, a warrior that hated swords, a mage that had a fear of open spaces and used a crossbow in combat instead of spells.
There are A LOT of different RPGs out there and now that you have a taste, just reading the books that describe the world and environment can be enormous fun. Sci-Fi, Cowboys and Zombies, Vampires, humor, horror, adventure, storytelling, …
My personnal favorite RPG systems are: Earthdawn, Deadlands, Paranoia, Traveller, GURPS, 7th Sea, Legend of the Five Rings. Look them up and you can see a small part of the systems that are out there.
There are others that I’ve played, but these are the ones that I’ve got great stories about. Looking forward to hear the stories you are about to create.