By all means avoid the AR 15.
They are all great choices, and have their strengths. Each would be a good addition. But buying into the AR system will bring problems.
It's the only one that comes in three or four distinct military verisions, with different barrel lengths, furniture, and options. It can be built retro or modern, the others look kinda funny with rails on them - if available. The AR takes dozens of sights, red dots, and scopes, frustration galore trying to choose. Lights and lasers just make it worse, improved stocks, free float tubes, and a dozen flash hiders and muzzle brakes compound the indecision, whether to single point the sling, where, and which kind will create hours of deliberation, research, and pondering.
Avoid all that, just choose some other simple gun off the list that doesn't have a dozens of makers and hundreds of aftermarket vendors of accessories. The Garand would be a good choice, no way to improve the loading, gunsmithing charges high enough to prevent working on it, parts are all 50 years old and old school rugged. It would be a real adventure trudging through the woods on opening day with it's iron sights and restricted, legal capacity chasing a whitetail. Nothing like carrying a 16" carbine in 6.8 SPC that hits almost as hard, has less recoil, shrugs off getting dropped on rocks crossing fences, has a tactical red dot that puts the impact point where you see it, and weighs three pounds less.
Choose that collectible blued steel and oiled wood beauty that will sit in the closet because you got the AR later and found it a lot more fun.