games of chance
For gambling games, if you want a "Straight game" (no character skills/abilities affecting outcome). I would suggest versions of roulette, 21 & craps.
Roulette-lite: characters can put their money down on a number 1-20 and color red or black. Roll a d20 for the number and any other die for color. Real roulette is more complex, I know, but that's the general idea.
21: simple blackjack. Just break out a deck of cards. DM = dealer.
Craps: I don't know all the rules to craps, but why not try something like having them put their money down and roll 2d6. That is the number they are trying to match. 7 ends their turn. Otherwise they get 3 rolls to get the same total as their initial roll. Other players & NPCs can bet on or against the roller with each other. If the roller wins, they get triple their money back or something like that.
Coursing: Have 2-3 dogs per "race." Give each of them a Coursing skill (+3, +5, etc.). Give the rabbit a "Flee like mad" skill

, Folks can bet on:
-whether the rabbit gets caught or not (even odds)
-which dog will catch it. Give odds based on Coursing skill; less skilled get higher odds (3:1, 5:1, etc).
Then let the rabbit loose and set the dogs on it. The rabbit skill roll is the DC for the dogs to beat. Whichever one beats it by the most (if any) catches the hare. Otherwise, the rabbit gets away.
Folks can gamble on wrestling, the jousts, the archers, etc. etc. etc.
If any characters have any skill in something like "Profession: Gambler" or "Craft: Gambling" you might just give them a flat DC to see if they make or lose money, but that would be if they didn't want to play it out.
I haven't read your "Tournaments" pdf, so sorry if this is re-hashing old ideas.