If the Avengers lived in the real world, they would surely win some Gold medals at the Olympics:
Archery: Hawkeye
Hammer-throw: Thor
Discus: Captain America
All the swimming Gold medals: Sub-Mariner
(Although Cap might fail the steroids doping test).
Got any others?

Any Olympics that would allow Thor and Sub-Mariner (neither one being human) to participate certainly isn't going to care about Cap's Super-Soldier Formula.

I'm pretty sure Thor could knock the Moon out of orbit with his hammer throw.

City of Heroes is BACK!

Wrestling - Hercules
Judo - Shangi Chi Master of Kung Fu
Track - Quicksilver
Fencing - Swordsman

It's been done before, Pietro wins all track and field, well most. Same with Namor and swimming. Northstar wins skiing I believe. Dazzler wins figure skating. I believe She Hulk won some thing but I forget what is was these "Olympics" take place in the Savage Land. It happened in Marvel Illustrated Swimsuit back in 1991... I would suggest picking it up if you can since it was quite amusing and interesting read.

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Spiderman should take all the gymnastics events.

Talk about 'Events'!

Votes and unclaimed events so far:

Archery 1900–1912, 1920, since 1972 ____________hawkeye
Athletics all
Badminton since 1992
Basketball since 1936
Basque pelota 1900
Boxing 1904, 1908, since 1920
Canoeing and kayaking since 1936
Cricket 1900
Croquet 1900
Cycling all
Diving since 1904
Equestrian 1900, since 1912
Fencing all ____________________________________swordsman
Football (Soccer) 1900–1928, since 1936
Golf 1900, 1904, 2016, 2020
Gymnastics all _________________________________spidey
Handball 1936, since 1972
Hockey (field) 1908, 1920, since 1928
Judo 1964, since 1972 ____________________________shang_chi
Lacrosse 1904, 1908
Modern pentathlon since 1912
Polo 1900, 1908, 1920, 1924, 1936
Rackets 1908
Roque 1904
Rowing since 1900
Rugby union 1900, 1908, 1920, 1924
Rugby sevens 2016
Sailing 1900, since 1908
Shooting 1896, 1900, 1908–1924, since 1932
Softball 1996–2008
Swimming all _______________________________________namor
Table tennis since 1988
Taekwondo since 2000
Tennis 1896–1924, since 1988
Triathlon since 2000
Tug of war 1900–1920
Volleyball since 1964
Water motorsports 1908
Weightlifting 1896, 1904, since 1920
Wrestling 1896, since 1904 __________________________herc

Track Sprints_____________________________________quicksilver
Track Middle-distance
Track Long-distance
Track Hurdles
Track Relays

Field Jumps
Field Throws _____________________________________thor

Maybe HULK for Field Jumps All?
Spidey may do amazing technically but Mantis might challenge him for style.
Shooting to Two-Gun, natch?

That's a very good roster pic. Saved!

I will stick to the Avengers who are currently alive and human:

Hawkeye: archery, maybe boxing and shooting too

Black Widow: beach volley, shooting, beach volley, taekwondo, beach volley, judo, gymnastics (did I mention beach volley?)

Shang Shi: judo, taekwondo

Black Knight: fencing

Hellcat: beach volley!!!, gymnastics

Amadeux Cho: shooting

Northstar runs at the speed of light these days, so Pietro can try to beat him.

City of Heroes is BACK!

I remember that Nightcrawler beat Spidey in the gymnastics, because he had better form, not because he was more agile.

Some of those are cheating though. Thor could lift far more weight than any human could, and do so easily. Same with Namor etc.

Look Raist bunnies...