Don’t throw that, you’ll have somebody’s eye out.

This is a common saying by teachers in schools.

He’s got his beady eye on it.
Beady means like a bead.  This means that he is watching it closely.  What are his motives, I wonder?

Prying eyes belong to inquisitive people.

A smack in the eye is sometimes a serious disappointment.  (Smack means hit.)

A sight for sore eyes is an idiom.  It usually refers to something eye-catching, which could cheer someone up.

Making sheep’s eyes means flirting.

Keep an eye out for means remember to look for.  When I go shopping I keep an eye out for useful items.

That’s one in the eye for… This refers to something bad or bringing someone down a peg or two.  King Harold was killed at the Battle of Hastings in 1066 by an arrow in the eye.

Feast your eyes on that!
Enjoy looking at it!

You need eyes in the back of your head!
Sometimes we need to know what is going on all round us.  This phrase is a favourite with people in charge of children.

Your eyes are bigger than your stomach.
This is said to a child who has taken more food than he/she is able to eat.

Seeing eye to eye means agreeing.  Two neighbours did not agree about much.  One of them was very nosey.  She even peeped through a knot-hole in the fence to watch her neighbours in their garden.  One neighbour noticed and put his eye to the hole.  The joke was that that was the only time they ever saw eye to eye!

A raised eyebrow may be from surprise, shock or in question.  Can you raise your eyebrows independently?

In Luke 11:33-36 Jesus speaks about the eye being the lamp of your body.