Well, there is this thread (and many more) with a similar question, where everyone just suggest their favorite game... I would suggest trying web games, with this search: https://www.speedrun.com/games#platform=Web&unofficial=on
There are a lot of short games that can match your requirements - don't require a strong PC and free. Whether you like platformers, puzzles, point and click, arcades, Google Doodle mini-games, etc, the web has it all.
It will be easier to suggest games if you narrow the requirements further, stating what types of games you would like to start with (and maybe also how short do you want your games to be). As ShikenNuggets said somewhere, those types of threads usually end the same, with a lot of random game suggestions while the original poster doesn't try anything.
Game-specific questions like that should be asked in the forums/discord of the game, instead of the general forums, where you can get better help frm the community. Just search for the game in the top text box.
@joeyloeygaming Since you are VERY new, you will have to wait at least 7 days before requesting any games.
Not really sure what you are asking here. Are you suggesting that a user should be limited in the amount of games they can moderate? That won't work, be it three (very low number), or any other arbitrary number. Every time a user request a game, they become the moderator for that game. I am a (single) moderator of 9 games by that way. There are users who moderate even more games than me. If we can't request new games because we reached a limit, many of those games won't exist here.
Also, the problem you mentioned about inactive (or not contactable) moderators isn't really a problem, because it has a solution - a runner can request moderation in the relevant thread if the mods are not active in a game. So no need for a limit for that reason.
First of all, calm down a bit. It's just a common mistake in milliseconds, not the end of the world! You can see your awaiting-verification runs in the "Pending actions --> View all" (hourglass icon in the top right), and you can edit any of your runs. The moderator for the game verifying that run will probably fix the time themselves, but if you can fix that it can be nice.
https://www.speedrun.com/requestgame
Read all the rules first.
@AlexisDR https://www.speedrun.com/uno_ubisoft
It seems that each run track the time for an individual round where you win. I was surprised to see that too.