。
She likes music more than anything else.
Literal
She [topic-は] other [genitive-の] anything [more-than-よりも] music [subject-が] is-liked.
他の何よりも is the superlative pattern: 何 ('what, anything') + よりも ('more than') with 他の ('other') prepended. Together: 'more than any other thing.' This is the idiomatic frame for 'X most of all / more than anything else.' Compare 何より ('more than anything') without the 他の, which is a slightly weaker version. ~が好き marks music as the が-marked target of liking.