The Sound Blaster Play was then the correct replacement. And this has surprised me very positively.
+ Good sound quality
+ Various sound options
+ Works with Windows 8.1
+ Plug & Play (nothing had to be installed by me)
+ Volume is very good
+ Microphone quality is good (no noise)
Perfect solution for my needs. But if you want to use for example a 5.1 system you should use another sound card.