I will let others who have actually applied chime in, but the general rule is that European schools care much more about scores than say US schools. With that said, you have a high GPA, probably in the top quarter of your class. Your GMAT is fine, but not amazing. The banking internship should make your resume pop.
I think you'd get into one of the LSE MSc Finance programs, not sure about A&F though. The difficulty level varies between degrees and I believe the private equity one is the hardest to get into (could be wrong).
From their website:
"There is no minimum score requirement. However competitive applicants will be looking for total scores of high 600s or more, with a quantitative section score of 85% or more."
Also, see this previous post -
lse-msc-in-accounting-finance-175679.html"It's pretty much common knowledge that the LSE MSc in Accounting and Finance is slightly less prestigious than the MSc in Finance. Nevertheless, how would you rate this program with regards to the overall landscape in Europe. As with the MSc in Finance, is it a top feeder for IB front office positions in London?"
I would also advise checking out The Student Room. Mainly EU/UK students asking and answering questions.
Good luck!