I like all these ideas, but personally I'm most excited about the PvP Lottery with a short-ish timeframe (like 1-3 hours), or multiple lotteries with different timeframes to suit everyone, and Keno.

Keno is super addicting, for me at least.
I've looked at some sites and I saw keno rounds that are per-player. The game reveals the numbers and done. What about a more social game, with "shared rounds", like every 30 seconds? So that numbers are being drawn for all the players and you can see other players placing bets? Plus some progressive jackpot? Could it be more fun?
Okay, that is more fun. You really hit the right note.

I don't want to be playing alone. There should be a "competition like" that is happening.
Putting myself in emotion to envy them and be better the next game.
I have my pet numbers all ready.

Yeah, I like this idea! Seeing others' bets/picks could be fun. Something like, you pick 2-10 picks out of so many numbers, say 30-50 total numbers, and then somehow you can see other peoples' bets, and that progressive jackpot you mentioned could be fun too.