The Student Room Group
I haven't done it, but according to Wikipedia:
'40% of undergraduates at the LSE apply for careers in investment banking. The top 10 employers of LSE graduates are principally Accounting, Investment Banking, and Law firms.'

I'd think that the place you studied and the grade you get would count much more than what degree you do - LSE is ranked 2nd in the world behind Harvard in terms of Social Sciences, according to the THES.

So, I'd say very good.
Reply 2
I'd say the employment prospects are pretty damn good too.

Here is a report on the destinations of LSE History graduates.

This website allows you to compare a mayriad of courses at a myriad of universities if you are having a hard time deciding on different Universities and courses. Hope this helps.