"My friend has humor."
Translation:Ο φίλος μου έχει χιούμορ.
Yes (sorry, I get a bit repetitive on these types of sentences), you can't say "my friend has humour" in English. This is a wrong sentence. All of the 3 mentioned above (sense of humour, funny, humorous) should probably be included, with the first of these as the standard translation.