。
I can show you a better time.
Literal
I [topic-は] better outcome [object-を] show [ability-ことができる].
いい目をみせる ('to show a good outcome/experience') — 目 here means 'experience, outcome' (as in いい目にあう 'have a good experience'). ~ことができる expresses ability. もっと ('more, better') modifies いい目.