There are some p2p games that are now available to play with, Like poker and some trading p2p game.
Texas holdem is a good game to play if you are well versed in it. Then again a real life game attracts a niche crowd there than the online games but online option is available. Many of the casinos here allow the p2p poker games where collusion is kept to a minimum but that fear is always there.
I also played rock paper scissors before and it is quite fun and fast.
Still skeptical about how much the p2p associated skill and the EV+ aspect would be in RPS game in online mode.
I am also not fan of lottery, besides that, it is slow and non-adventurous, I am not lucky on lottery games since then. Fast p2p games are more entertaining than playing on a programmed game.
Who said lottery is a p2p game? It is not. Lottery is a completely EV- game and you chance of losing is more than winning. Dont bet on lotteries to win jackpots, you will be broke before you know it.