"I like to watch the wild animals." should be correct.
Yeah, I guess. Added now.
Is there some subtlety that makes 'I like to look at wild animals' wrong?
It feels to me like watch/oglądać is more of a continuous action, whereas look/patrzeć is a shorter event.
So I imagine this as a continuous action, which is why I suggested it.
To watch something is to look at it, but more -- when you watch something you look at it and pay attention to what you're looking at, either what it's doing, or what's happening associated with it.
"I like to look at wild animals" works.
But yeah, "watch" seems a bit closer.