Cat - Felyne
Dog - Lucky
I miss Felyne so much. Monster Hunter and Animal Crossing were two of my biggest joys when I was going through a hard time. Seeing them cross over made me so happy...
Though I'm a massive cat person in real life, I've never been too keen on their models in AC. That said, my favorites are definitely Ankha, Punchy, Lolly and Rudy.
As for dogs, I think Goldie and Shep have my favorite designs.
My little sister: She loves Rosie ! Rosie is one of hers bests friends with Ankha. And she really enjoy to spend time with Rosie in our little island and talk to her a lot. ^^
I've never had a cat villager. I also quite like Raymond, Rudy, and Rosie. Actually there are alot of cats I like.
Dog: Butch and Cherry
There are a lot of dog villager designs I like, but this one is a little easier because I have both of them in my village and I love them both. Butch may be my favorite cranky villager.
Cat: Katt, Olivia, Merry, Rosie (I find her a bit overrated but she's cute nonetheless), Monique
Dog: Goldie, Bea, Maddie, Portia, Mac
I kind of wish they had different dog and cat breeds though - would be cool to have fluffy cats and different breeds of dogs (besides NPC's like Isabelle or Harv, that is).