Oh hey, can I join this club? Because I feel like I need to be part of this club.
I don't really have one favourite type of character - I tend to love a bunch of different ones. There are so many types and character-tropes I enjoy, I'm going to illustrate them with Critical Role-fanart I've drawn.
You are highly likely to snag my interest if you have a character who is big and scary and intimidating, but who also has a soft spot for small, cute things. Example: Grog Strongjaw.

Grog is an 8 feet tall Goliath who loves to drink ale, rage, punch things in the face, and hang out with his tiny Gnome friends. Also, Grog has a heart the size of an ocean, and can't read. Though his best Gnome-buddy Pike did manage to teach him the letter "G"! <3
Also - walking disasters. The kind of people who need a whack upside the head, a stern talking to AND probably a hug and a cup of tea before they feel okay again. A tragic backstory doesn't hurt - nor does an ongoing tendency to make terrible decisions. Example: Percival de Rolo III.
Ooooor how about mysterious weirdos who you can't tell if they're good guys or bad guys, but are just the right balance of weird, creepy and genuinely helpful? Are they on the side of good, the side of evil, or just off in a corner entirely by themselves, doing things for reasons no one understands? Bonus: slightly out of sync with the rest of society, also, weird laugh. Example: Senokir.
And while we're at it, why not super-self-confident, friendly, wiser-than-you people you can go to in an emergency, who always have your back, love you a lot and are happy you're here - who also happen to be not-so-secret badasses? And also very much not straight? Example: Shaun Gilmore, of Gilmore's Glorious Goods.
And finally - people who aren't paid enough for this shit, but will do it anyway, because damn it, they can't just leave a mess and walk away from it. Secretly more badass than they look, and probably the most competent people around, you should be happy they're even here (and you should probably give them a pay-raise). Example: Jarett Howarth.
(hey guys - you should watch Critical Role. Best 350 hours I've ever spent on anything).