Apart from differences in vocabulary, grammar and pronuciation, I have noted a few differences in usage between BrE and AmE. I found these comparing the BrE and AmE versions of a Grammar Book. usually both are correct in each varietu of English, but one is more usual in BrE, while the other is more common in AmE.
BrE : I'll phone her
AmE : I'll call her
BrE : I feel a bit hungry
AmE : I feel a little hungry
BrE : We decided to go by car
AmE : We decided to drive
BrE : horrible
AmE : awful
BrE : cross the road
AmE : cross the street
BrE : look for somewhere else to stay
AmE : look for another place to live
BrE : I am going on holiday
AmE : I am leaving on vacation
BrE : When you have finished with it...
AmE : When you are finished with it... (this is wrong in BrE)
BrE : to advise someone
AmE : to give someone advice
BrE : When will you know your exam results ?
AmE : When will you find out how you did on the exam ?
BrE : this evening
AmE : tonight
BrE : I'll phone her
AmE : I'll call her
BrE : I feel a bit hungry
AmE : I feel a little hungry
BrE : We decided to go by car
AmE : We decided to drive
BrE : horrible
AmE : awful
BrE : cross the road
AmE : cross the street
BrE : look for somewhere else to stay
AmE : look for another place to live
BrE : I am going on holiday
AmE : I am leaving on vacation
BrE : When you have finished with it...
AmE : When you are finished with it... (this is wrong in BrE)
BrE : to advise someone
AmE : to give someone advice
BrE : When will you know your exam results ?
AmE : When will you find out how you did on the exam ?
BrE : this evening
AmE : tonight