Breezes is located directly across from the pier where you'll land if coming in by cruise ship. As such, it gets very full very fast.
First off, let's talk about the good parts. The food is reasonably priced and pretty tasty although nothing special compared to other stuff we've eaten in islands. If you sit outside, you'll have a great view of the bay, the town and the ships, it's a great spot to people watch. Drinks are also reasonable and tasty.
Now the problems... They're a bit disorganized at the door, so your table will get snarfed if you're not careful and just a little aggressive when it's crowded. Do not have everyone at the table go to the bathroom at once or you'll return to find your stuff gone and new people at your table.
Also as with many places in the Caribbean, the laid back caribbean pace means if there's a crowd, things are going to be slow. Your food is going to take a while to come out, and you may have to pounce a waiter to get a refill. After our meal, we didn't see a waiter for over 15 minutes and finally just went to the register without our check as we wanted to get out and onto the beach.
Most boats are not in Cayman for long, so I'd skip Breezes on any return trips, takes too much of valuable shore time just to get fed. If I'm going to wait on food and such, i'd rather be sitting on a beach while doing so.
This review is the subjective opinion of a TripAdvisor member and not of TripAdvisor LLC.