I play only 5e, so I suppose it's both my favourite and least favourite system.
The thing I like
least is the time to build a character sheet. It takes SO long for new players, and once it's done much of it is never used. It's mainly all that skill and tool proficiency nonsense where the time is lost (because if you picked a spellcaster, then you have only yourself to blame).
The thing is, there is a variant rule, a better rule, in the DMG.
dmg says:
Background Proficiency
With this variant rule, characters don’t have skill or tool proficiencies... Instead, a character can add his or her proficiency bonus to any ability check to which the character’s prior training and experience (reflected in the character’s background) reasonably applies. The DM is the ultimate judge of whether the character’s background applies.
For example, the player of a character with the noble background could reasonably argue that the proficiency bonus should apply to a Charisma check the character makes to secure an audience with the king....
There's more in the DMG about this rule and how to use it. I like this variant, but it depends on trust between the players and DM. But even if you're not playing with this rule, it's a good tool for DMs and players to sneak in.
There it is. One of my least favourite things in 5e. I find the vanilla skill rules overly complex, lack subtlety, and the variant rule works better in the narrative environment of PbP.
Oh yeah. And Healing Word. That sucks.