General arrogance:
* Arrogant
* Haughty
* Condescending
* Patronizing
* Snobbish
* Smug
* Pompous
* Imperious
More subtle or veiled arrogance:
* Disdainful
* Scornful
* Aloof
* Superficial
* High-handed
Formal synonyms:
* Overbearing
* Pretentious
* Lordly
The best synonym to use will depend on the specific context and the particular shade of meaning you wish to convey.