I actually love most argentine accents. I do not know how to differentiate them. There's this guy at the office with the most annoying accent ever, but it's only his I can't stand. I have a few friends from Mendoza... I absolutely love how the talk. I'm always wanting to seat down and have coffee with them so they tell me their stories in their accents.
I do have a hard time when they speak fastly (even worse when they've had a drink or two). My native language is Spanish and it's funny I can't always get all the words they're saying (some because they use different words for stuff, and other times because they talk too fast). However, there's an accent that can make me fall in love: colombian, but not all of the colombian accents are nice... I don't like Shakira's accent, but I'm in total love with Sofia Vergara's, for example.
It's also very amusing when Argentines try to imitate us mexicans. I'm always like: "what? We don't speak like that!" but it's funny.