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I voted Growlithe! I have the fondest memories of using Growlithe/Arcanine and I love that it has some inspiration from the Shisa- especially evident in its Hisuian form. Houndour comes close though since I love and own Dobermans!
Already been said but all the Eeveelutions. They're basically big elemental cat/fox/dogs! Others i think would make great pets are Mincinno/Cincinno and Furret.
Hitmontop my beloved. I love his design and fighting style, being based on capoeira. He's also been amazing to use, with either Intimidate or Technician and all those priority moves. And what's more he's adorable! Honestly I find Hitmonchan kind of ugly and I'm just indifferent to Hitmonlee.
If I have to pick just one it's definitley Absol (unless Megas count as a stage?) I love it's concept and design, with the Yin Yang theme and being based on one of the coolest and underrated mythological creatures from Eastern mythology.
While I'm not particularly a big fan of any of them, I have to go with Emolga. I think it has the cutest and most unique design out of the Pikaclones and I remember Iris's being a fun character. It's also the only one I've used in a playthrough so I may be biased.