How can I download apps or games through Cydya? Why isn't AppCake working for me?

There are more options, such as: ifanbox, tongbu, vsahre, 25pp, among others. It's best to download them from each one's repository. 🙂 
 
 
Veguetta

Linkstore is an excellent option… a button appears in the App Store itself for free download.

Of course, in order to install applications etc., you need to have "appsync" for your iOS, which you install from Cydia. 
 
Veguetta