I've had mice for about 3 years, both males and females and they are quite different from hamsters.
Male mice have to live alone, and as others have said, they do smell a lot. But they also require quite a lot of attention from you, as they are very social and because they fight with other males, you need to be their new best friend. My males would be out almost all day long whenever I was home. Females are a bit easier because they have to live in groups of at least 3, so they have company but do also require some time out of their cage.
Mice are also way more active during the day, my hamster wakes up at around 11 pm, where my mice would wake as soon as I was in the same room as them
Because mice are so active they need a lot of toys, especially to climb, they looove to climb ^_^ My male mice became extremely tame and would happily sit still and let me pet them - but that does not mean every mouse is like that. My females had too much energy and would never sit still
I find that hamsters (at least my syrian) is more calm than mice, but still he still makes a wonderful pet and I know that hamsters can also be very tame
So it really depends on what kind of person you are, and what animal would be best for you