My daughter likes natural science more than languages or art.
Literal
Daughter [topic-は] languages [or-や] art [than-よりも] natural-sciences [subject-が] liked [polite-です].
や is the non-exhaustive 'and' — 'X, Y, and such,' implying there may be more. Compare with と which is exhaustive. より (+ emphatic も) marks the comparison baseline. 好きです takes が for the liked thing — classic adjective-like-predicate pattern.