I love watching baseball and football.

Literal

Baseball [and-と] football [obj-を] watch-[nom-の][subj-が] very-liked.

Casual-register sentence with dropped copula (大好き alone instead of 大好きだ/です). 大好き is na-adjective 'loved very much,' with 大- ('big') as an intensifying prefix. ~の nominalizer (more colloquial) nominalizes 見る. Note the clipped register — no ending particle, no copula.