I have a hard time deciding which is best:
Kings seems to have the strongest array of courses, however where I'm from, their reputation is taning (too many get in)
UCL seems to have a more exclusive reputation, however is not well know in my country
LSE seems to have an excellent reputation, however specific competition subjects are scarce
Cambridge obviously has the best reputation, however only one competition subject.

Which would you recommend? I am interested in a career as a lawyer (in my home country)

Thanks!

If you want prestige in the first place, go to Cambridge, of course. If you want to study nothing else but competition law while prestige is of subordinate importance to you, I would say go to KCL (maybe UCL, both far from being non-prestigious though).

In answering the question whether prestige is of primary or subordinate importance to you, I would look at your undergraduate law school: the more prestigious the latter, the less important prestige might be regarding your graduate law school.

Thanks! I went a very good undergraduate school so thats not the problem. At the moment I'm leaning towards LSE as it seems like a good combo of prestige + some specilized subjects but I'm still not 100% certain of my choice..
Cambridge is of course not a sure thing to get in + only one competition subject is making me kind of leave it out of my realistic options.

Wouldn't choosing LSE amount to discarding both the most prestigious option (if you got in) as well as the option(s) best for competition law? I'm not sure if that were wise. Maybe it still is, really tough one.

Good point! It just seems like a good "compromis" for me, as I think I should be able to get into LSE but Cambridge is not a sure thing. So prestigewise, its my best offer and regarding the subjects, it even triumphs Cambridge.
I guess the best thing is do is to just apply and see what happens. Thanks for your advise!