The solution is not to avoid the games, but to realize you have an obsessive personality (which is a blessing) and use it in a positive manner. Use your God-given talent in more productive ways — to learn a skill, to repair something, to study the Faith, to write a book, to focus on your job/studies, etc.
Once you put your priorities in order…then…you can play games. Obsess all you want, enjoy the game, and have fun… because you will have deserved this mental break from real work.
You can’t stop nature and you can’t alter your personality. Use your personality and gifts for their best use, then have fun with games, in moderation.