 If you liked
Kiniro no Corda: Primo Passo
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 ...then you might like
Kaichou wa Maid-sama!
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In both, the main character is trying to hide a secret about herself which would otherwise damage her reputation. They're both also pretty light-hearted and have similar art. However, I would say La Corda D'Oro is slightly more serious and revolves around music, whereas Kaichou wa Maid Sama is a bit more comical and revolves around the romance between the Misa and Usui.