You are never too old for character dining! See the pictures in my signature below? About 5 of those were taken at Goofy's Kitchen at the
Disneyland Hotel, where I have been eating since 1992 and will continue to eat in the foreseeable future (and I am 41 years old!!). It has a great buffet with a wide variety of choices and the characters are fun. My friends and I have no kids, but we LOVE Goofy's!! (Also see my Trip Report - link is in signature below - and you will see many years of hamming it up at Goofy's.)
So in addition to Lilo & Stitch, Ariel's Grotto and Goofy's Kitchen, there is also Minnie and Friends inside of Disneyland, and Storytellers Cafe Critter Breakfast at the Grand Californian Hotel.
However - and this will shock everyone here on DIS - I am not recommending Goofy's to you to start out with just yet. To be honest, even though I looooove me some Goofy's Kitchen


, I actually think
Storytellers Cafe Critter Breakfast would be great for you and your DH because the mood is very calm, laid back and relaxed. It is not 'high voltage' fun like Goofy's or Lilo and Stitch or Minnie & Friends. Storytellers is a very woodsy, earthy, rustic kind of restaurant with a fireplace and cozy atmosphere. The characters are Chip, Dale, Koda and Kenai from Brother Bear, Meeko from Pocahontas, Terk from Tarzan and assorted other guest stars. Goofy's has Goofy, Pluto, Baloo, Chip, Dale, and usually a couple of princesses. Sometimes Alice and the Mad Hatter are there as well, and sometimes Minnie shows up. Minnie and Friends in DL has too many characters to mention, but it may be too much for your DH if you or he is skeptical about the character meal experience in general. I would try Storytellers first and then see how that goes, then work your way up to the other ones.
Oh, and there is also the new Celebration BBQ inside of DL, with Woody and a couple of other Toy Story characters, and it features entertainment as well. That may be an option. It is not technically a 'character meal,' per se, but there is entertainment featuring characters and they sometimes do come around to the individual tables, from what DIS-ers have said.