I wish to know if these games such as FPS which you can put for example in a room of 10 players everyone puts 5 dollars and the winner takes the whole 50 dollars, Are considered as gambling.
And also if theres any known and trusted website or casino that allows such games. I find them better than gambling and lucky games
First of all, let's define what is gambling and base on a quick google search, this is what gambling means:
Gambling (also known as betting) is the wagering something of value ("the stakes") on an event with an uncertain outcome with the intent of winning something else of value.
In the scenario that you shared, it is a form of betting therefore, it is considered as gambling. The term "uncertain outcome" can be applied in the FPS game that you shared because you don't know if you will win or not. Winning of something else of value is the $50.
Overall, pay to earn is considered gambling since you are paying a specific value so that you will earn more money but the chances of you winning is uncertain. Now with regards to the websites or casino who are allowing such games, I don't know if there are sites who are offering those kinds of games or at least similar to that.