You are a person of culture. Do not let anyone tell you otherwise. Also, don't be ashamed about mistaking those for Disney - people thought Anastasia was Disney for the longest (and still do, as a matter of fact!).
Oh, if you liked those, you'll definitely like at least some of their Renaissance movies (Beauty and the Beast, Aladdin, Lion King, etc.) although your mileage may vary on each individual one. I'd also say to give their early 2000s movies a shot (especially Lilo & Stitch. That one, in my opinion, is Disney's best original movie NOT based on a fairy tale, for reasons I've already elaborated on in the past here on this forum so I'll STFU about it now).