Hmm, I would like to say "저는 애니메이션과 학생이예요",and you should stress at "과" because If you don't, it will be sound like "I'm animation and student".

My best try would be 저는 학생이고 애니메이션을 전공 하고 있어요. Or 저는 애니메이션을 공부하는 학생 이에요. But I'm not sure if that's what a native speaker would go for. :) Hope this helps.