On the matter of dragonborn.... I do hope they get some love like the tieflings do. I personally always found that the dragonborn abilities in 5e were lackluster, and didn't synergize well with either paladin nor sorcerer. I want to like them, I really do, but I can't help but think that its a failure of design in a real way. And it doesn't help that the sorcerer is in desperate need of love too.
It was once the case that in D&D, Elves and Dwarves couldn't even be members of the "human only" classes as that would be too powerful when combined with their innate racial traits as represented in their classes. Then they got some access to some classes, but curiously enough but you still couldn't be an Elven Druid or Dwarven Cleric. Dragonborn showed up in 3e when such restrictions disappered, but weren't really mechanically inclined towards Paladins- no more than Elves were inclined towards being Druids or Dwarves Clerics.
Nitpick: dragonborn in 3e had Paladin as a favored class. Perhaps you're thinking half-draongs? Or spellscales?
To kinda get back on topic, as someone who is typically not a caster fan, I default to elf or half-elf for...pretty much everything. I think the human paladin I'm playing in my 3.X game is the first time I've run a human in years and it was mostly for giggles.
Eh? Considering that elfs are built towards wizard or ranger tyeps, both who cast... what do you play as, class wise?
My personal favorite are gish types. Paladins, blade warlocks, arcane tricksters, etc. Back in 4e, I liked druids as well, even if I had to accept a penalty to play, but I just enjoyed shape shifting. 5e druid is absolutely not to my taste (I find flipping through the Monster Manual annoying), so I've been playing ranger more. I've recently also grown attached to the 5e assassin and experimenting with poisons, and have been giving thought to the ninja or elemental monk. I usually like bard too, but somethin gabout the 5e bard just feels wrong to me, and not enjoyable.
As a result of my focus, I tend to play elves over humans, and I like going tiefling for paladins and warlocks. After that? Hmm... I wanted to play an aarokosha wind monk once, but I got yelled at for being a flyer and causing all these sorts of potential problems, which I didn't get, because
monk. You know, the up close fist fighters. But in the end, I wasn't allowed.
I personally find playing humans boring, so I don't usually play them with any race, and I haven't found any other race to really stoke my interest in doing a monk again (I know wood elves are popular, but I just can't feel it). Lately, been considering going Tabaxi shadow monk.