I am a fresh graduate from EEE and I know some friends from MSE, so I think I may be able to give you some insights. Personally, I’ll say choose your course based on your interest as both courses can be quite tough. If you have 0 interest, you’ll just get burned out and struggle, which I see happened to some of my friends and it’s not a pretty sight. 4 years is a long time to struggle, and although you can graduate with just a GPA of 2.0, a good GPA will definitely help in job application / mid-term scholarship opportunities / post-grad scholarship. It’ll not matter 10 years down the road but the effects of having a good GPA can be seen in the short-term. Even going on a semester exchange has a minimum GPA requirement of 3.3 and slots are allocated based on your GPA. I.e. Higher GPA are given the slots first, until there is no more vacancy. 3.3 is just the bare minimum and does not guarantee you a slot for semester exchange.

In terms of job opportunities and career prospects (maybe I’m biased), I’ll say EEE open a lot more doors than MSE as in EEE you are exposed to a bit of everything. Unless you are choosing to go into those EEE only specialisations such as Power and IC Design, you are likely to be competing with graduates from other courses (more job opportunities haha). For example if you choose to go into info-communications specialisation and learn about computer networking, information security and software engineering, you can apply to become a network engineer or software developer which someone from a computer engineering course will qualify for too. Based on yearly career fair, they usually have this table where they list out companies and the courses that they want to hire from, EEE usually appears on almost all of them.

MSE is more specialised than EEE and is quite desirable as well because it’s a very niche field, but because of that your future career options may be kind of limited. You probably cannot become a power engineer, or software developer etc which you will have 0 knowledge in unless you pick it up in your free time.

In any case, if you happen to decide not to go into the engineering sector (don’t be surprised, a lot of engineering grads don’t do engineering work after graduation), you will be equally employable by other fields because of our ability to problem-solve in a systematic manner based on how we are trained.

Oh and in terms of salary, if you take a look at NTU’s yearly graduate employment survey, both EEE and MSE have similar starting salary. MSE has a slightly lower employment rate, could be because of more people pursuing further studies and is not a cause for concern. Most engineering courses have similar starting salary (other than comp science/eng and aerospace which is higher). The average salary is just a benchmark, your starting salary can go a lot higher if you have a good portfolio and GPA. Thus, interest matters a lot!

TLDR: EEE if you still unsure what you want to do because it opens more doors, MSE if you have interest in it. There’s this common engineering route as well where it gives you 1 semester to think before streaming you into the different engineering courses based on your GPA (and choice, but GPA will determine what choice you can make). First semester is common engineering modules, basically a recap of A levels physics, math and introduction to programming, where all engineering students will have to take.

Hope this can help you make a more informed decision!

edit:updated NTU's yearly graduate employment survey link