You may wish to look at Tournaments, Fairs and Taverns as that is an excellent source of fair games and fun, including rules for jousting and archery.Today, players in the lower-level part of my email campaign are attending a Midsummer fair (1st Richfest) in Thornward, Bissel in the Greyhawk setting.
First up is an archery competition. Rules:
Blue (AC 10) gets you 1 point.
Red (AC 12) gets you 2 points.
Bullseye (yellow, AC16) gets you 4 points.
You need to earn at least 5 points on 3 shots to stay in.
No magic - checked for in Round 4. You can borrow a longbow, short bow, light crossbow, or heavy crossbow.
Round 1 is 60 ft. Range, so no penalties for any normal weapon.
Round 2 is also 60 ft. Range.
Round 3 is 120 ft. -2 Range increment for everything but a heavy crossbow.
Round 4 is 240 ft. -2 to -8 Range penalty depending on the weapon.
If multiple people pass Round 4, repeat until 1 winner or only 2 left. Final championship round is by points.
Prize: 50 gp, 10 silvered arrows, your choice of loaner bow to keep, and a job offer for the city guard.
I run a 3.5e game with every PC being a gestalt-ranger character (fighter-ranger, cleric-ranger, wizard-ranger, etc).... house rules allowing animal companions and favored enemies to be swapped out for extra feats,...
Non-core feats, spells, and magic items I treat as "homebrew" - allowed only if I, the GM, approve, and I'll often modify them.

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.