You can also play with the soccer team. Which team do you play with at the university? I play with the soccer team. (rather than the rugby or netball or basketball or whatever teams)

And yes, they should have used 'football', and let each locality think they meant a different sport :)

Maybe it's a regional thing (I'm from the East Midlands), but playing with the team has a different connotation from playing for the team to me - although both are valid sentences.

Playing for the team suggests that I'm part of that team. Playing with the team would say to me that I'm not part of them, but I've been co-opted for a game or something like that.

Oddly, I would say "playing with the orchestra" rather than "playing for ...".

I call both Soccer and AFL Football, and call Rugby, Footy. I only ever talk about AFL with my mother, Soccer with friends and Rugby with no one.

It can be really confusing when all three are somewhat popular in one country.

League or Union?

I'd call rugby league "footy", but rugby union will always be "ruggers".

Leauge, I just call Union: Union.