To find or discover something one has been looking for or something unexpected; to come across or spot something; also to catch someone in the act of doing something.
やっと探していた鍵を見つけた。
I finally found the key I'd been looking for.
散歩中に素敵なカフェを見つけた。
I came across a lovely café while out on a walk.
子どもがこっそりお菓子を食べているのを見つけた。
I caught the kid sneaking sweets.
ネットで安いチケットを見つけたから、予約しておいたよ。
I found cheap tickets online, so I went ahead and booked them.
To be used to seeing something; to be familiar with the sight of. An older usage, rarely encountered in modern Japanese.
見つけた顔ぶれが並んでいて、なんだか安心した。
Seeing familiar faces lined up put me at ease.