I prefer listening to the radio over watching TV.

Literal

I [topic-は] TV [object-を] watch [than-より] radio [object-を] listen direction [subject-が] likeable is.

The preference pattern [Aより Bのほうが好き] is the standard way to express 'prefer B over A.' Both halves must be nominalized clauses — here テレビを見る and ラジオを聞く — because よりほう compares things, not actions directly. 好き is a na-adjective that takes が for its object (the liked thing).