-or vs. -our:
* BrE: colour, humour, favour
* AmE: color, humor, favor
-re vs. -er:
* BrE: centre, theatre, metre
* AmE: center, theater, meter
-ise vs. -ize:
* BrE: realise, organise, analyse
* AmE: realize, organize, analyze
Other differences:
* BrE: tyre, licence, programme
* AmE: tire, license, program
Note: There are many more words with different spellings in BrE and AmE. These are just a few common examples. It's important to remember that both spellings are considered correct within their respective dialects.