There was an interesting question by ‘Fool’ recently on the StackExchange site for Boardgames: How do you play a game like Rock-Paper-Scissors with friends online? Or any other game where players have to simultaneously submit their moves (e.g. Diplomacy, or Rock-Paper-Scissors-Lizzard-Spock), which, as I just learned, are simultaneous action selection games. While there are websites dedicated to playing specific games, such as webdiplomacy.net, we could not find a generic one that you can use if you, for example, invent your own variants of a game.
So I created one: At you-say-first.nomeata.de you can enter rooms and share the URL with your friends. On the one hand, you have a regular chat room there. But there is also the possibility to enter moves (whatever a move may be to you) and only when all players have done that and marked the move as final, it is shown to everyone. If you want to try it out: There is an integrated, not very fancy Rock-Paper-Scissors-playing bot. Just enter a room, join and say „I want to play!“
Note that this site can be used for more than just for games. Have you ever observed that persons would often want other to express their preference (e.g. where to dine) first to not reveal their own preference, so that they can (or pretend to) change their mind if they would contradict? In such situations simultaneous action selection can be a fairer method.