Going to drop some basic info and links. Shooting in competitions is a great way to improve your skills, and its also fun. Going to drop some info on a few different sports, links to the organizations that run them, and some videos that just demonstrate what the sport actually looks like.
<Do you want to run around through a course and shoot stuff, but don't want to invest a ton of money upfront? A "practical" pistol sport might be best for you. Their are two big ones.
IDPA: International Defensive Pistol Association. Focus on defensive shooting, drawing from concealment. There are rules around things like shooting targets in proper order as you "pie" around a corner, and retaining magazines. Equipment rules have an expectation that you'd use stuff you'd actually carry. Different divisions for things like optics, sub compacts, etc.
https://www.idpa.com/
https://www.youtube.com/watch?v=tXtSNqdcFuM
USPSA: (or IPSC outside the US): US Practical Shooting Association, or International Practical Shooting Confederation. Similar, but more gamified. Stages aren't always meant to be realistic scenarios (though some still are), but rather test various shooting skills. Broader range of equipment. You can compete in Production division with an off the shelf gun, or dump thousands of dollars into building an Open division race gun. Other divisions include Limited (some modification allowed, but not as much as Open), Carry Optics, Limited Optics, and even Revolver if thats your jam.
https://uspsa.org/
https://www.ipsc.org/regions/
https://www.youtube.com/watch?v=3oZBY_ZBntM
ICORE: Speaking of revolvers, if that's what you like, ICORE is similar to these other sports but specific to revolvers, with several different divisions based on whether you use optics, use moon clips or speed loaders, have a compensator, etc.
https://www.icore.org/
https://www.youtube.com/watch?v=dhccJRteC1c
Believe it or not all of these sports are quite common in Europe too, and in some of the more restrictive countries, getting involved in them is one of the easier ways to be able to own a handgun. Leafs are fucked though, only way in right now is if you already own a handgun. IDPA, USPSA, and IPSC all also have Pistol Caliber Carbine divisions that generally happen as part of pistol matches, and they also have entirely separate rifle and shotgun disciplines. Getting into each of those is a good way to gain familiarity if you eventually want to shoot three gun.
<Do you want to do sniper like shooting with a rifle?
PRS: Precision Rifle Series. Making accurate shots on targets out to 1000 yards from various positions. The sport is really all about building a stable shooting position from all sorts of positions and barriers. Almost like yoga with a gun. There is also a rimfire version of it that just uses .22s at ranges out to just 300 yards. Cheaper to get into, and way cheaper to keep on doing.
https://www.precisionrifleseries.com/profiles/clubs/CE
https://www.youtube.com/watch?v=rk1wPq2nEuE