The last I have played a game was 10 years ago so regretfully I'm not very into that subject, but as far as I gathered there are Polish studios developing video games, some were quite successful.
I'm also not quite sure what are you asking about. You mention animation and then jump to computer games. As for the animation there are studios which make special effects for Hollywood movies, as well.
since video games are a way for publishing cultures
Not really. The biggest made-in-Poland hit was a shooter settled in scenery of a certain Mexican town... ;)
Instead of asking the questions you should put some efford into looking for answers. It's so easy to demand: "Please tell me...", while we all have the same access to the Internet, so if I can find such informations within 5 minutes, then why you can't? Here you have for instance: