If "classic" means "traditional or timeless":
* Modern
* Contemporary
* Avant-garde
* Trendy
* Faddish
If "classic" means "of high quality or excellence":
* Mediocre
* Substandard
* Inferior
* Uninspired
* Amateurish
If "classic" means "well-known or famous":
* Obscure
* Unknown
* Unremarkable
* Unpopular
The best antonym will depend on the specific context in which you are using the word "classic."