Fame is divided into three types. All of those types are added together to your total fame - that's the one that determines when you can climb up levels.
Here you can read what the types are and which activities give you fame.
Socialite fame can be earned from all things social. Those include:
As you may have noticed, there is no popularity score anymore. The things that used to give you popularity now count towards your socialite fame.
Gamer fame is won from:
Journalist fame comes from sold magazines.