Cosmo excels in his role because he can get along with just about anyone who is not a racoon, from space pirates to would-be superheroes to Skrulls in disguise. He’s totally adaptable, far more easy-going than his grumpy exterior indicates, and willing to forgive you for being surprised he can talk--provided you make it up to him with a good ear-skritch.
He first appeared within the pages of NOVA (2008) and has had a presence within Marvel Cosmic ever since as a helper to the Guardians of the Galaxy, the Annihilators, and various other space-dwelling types. He hasn’t had a huge on-page presence these last few years, but does crop up in the pages of NOVA (2013) as one of young Sam Alexander’s newfound space allies.
Lockjaw is my favourite ginormous teleporting doggie, because that’s another category I rank. He hangs around with the Inhumans, a race of Kree-engineered superheroes who gain their powers after exposure to the Terrigen mists. Lockjaw is particular friends with Crystal, Queen Medusa’s elementally-empowered younger sister, but he steps in to aid every member of the Inhuman royal family as the need arises. He’s also the founder of the Pet Avengers, and has recently become good friends with Kamala Khan in his capacity as the bridge between her human and Inhuman heritages.
Lockjaw’s sentience is a longstanding debate, but it’s clear he’s more than an average animal. He can follow complicated instructions, make on-the-spot decisions, and assemble superhero teams. He also has definite preferences. Like hugs! And don’t you even try to give him a bath without a direct (albeit nonverbal) order from King Black Bolt. Lockjaw is not a bath person, and his teleportation powers make it super easy for him to squirrel out of the ordeal.
Lockjaw, alas, hasn’t made his big screen debut, but he’ll surely be a key part of the upcoming Inhumans movie. He’s also appeared in a handful of Fantastic Four cartoons over the years.
And he's met Cosmo, because the only thing better than one psychic dog is TWO psychic dogs!
Listen, individual taste is important and you’re allowed to like or dislike whatever you want to like or dislike, but if you dislike Pizza Dog you are a very wrong person who has no soul. Just saying.
Lucky, aka Pizza Dog, has a hefty presence in HAWKEYE as Clint Barton's (and Kate Bishop's) pet. He used to live with some maybe-Russian mafia types who were super nasty and abusive, but Clint got him out of there, adopted him, and renamed him because his original moniker, Arrow, was a bit too on the nose.
Pizza Dog doesn’t have any powers. He’s a regular dog who enjoys eating pizza, being around Kate Bishop, and smelling everything in the entire apartment building with the help of his trusty sidekick, Mitzi. And he’s still awesome, because dogs don’t need to be telepathic or possessed of teleportation abilities to prove their worth. They just have to exist, and Lucky is so good at existing. He also excels at such essential tasks as taking naps, sniffing things, growling at bros, and being cute.
He hasn’t yet appeared on film, but he’s got his own action figure and HAWKEYE #11 is told entirely from his POV.