Coming for the U.S., name recognition is a big consideration for me. LSE is more well-known here, I’ve definitely heard of Warwick and Imperial. For what it's worth, I haven't heard much about CASS ever before.
So I would say LSE, Imperial, and Warwick are considered a lot better than Cass. Please don’t hate me, people from cass. (though it is still possible to get a job after Cass, just harder. If you are not holding uk/eu passport, then you should be planning to go back to your own country after graduation. If you cannot work in the UK, I would recommend you that international brand-name should be your biggest concern. For example I know Cass is not that well-known overseas.). (btw if you are good enough, LBS is considered extremely well also).
As for LSE, if you feel it could be in any way financially feasable, go for it. It is the best college in the UK for financial roles, as for other good paying business jobs, its probably tied with Oxbridge, but still considered excellent. They are more selective because they get a lot more applications from around the world. IMO a good degree from there is like gold in the UK.