Deciding between MBA(BE), formerly known as MBE, and MBA(FM), previously MFC, really comes down to what you prefer. If you're into analytics, MBA(BE) is great as it can lead to careers in finance, market, or general analytics based on what you specialize in. On the other hand, MBA(FM) is ideal if you're aiming for core finance roles or financial analytics jobs in banks and financial institutions.
As for the atmosphere, both programs are quite similar, though MBA(FM) does have a slightly smaller group of students.
Considering how well-known each course is, MFC tends to be more popular than MBE. However, it really depends on what you want to focus on: a deeper dive into finance or a broader business approach.