There are many forms of shooting and hunting that can be good for a stag do day out. Anything from clay pidgeon shooting, to game hunting, to archery and rifle ranges, to laser fighting and paintballing. There really is quite a broad spectrum
The are many venues accross the country which cater to your specialist interesnt, and most of them are experts in catering for large groups.
The good thing about shooting days out is that they are often not too energetic, perhaps with the exception of paint balling. That way no matter how old, unfit, or boring certain guys may be, generally speaking almost everyone is happen to give a bit of shooting a go.
It is often a thing that many of the group will never have tried before, so it's a fun and interesting day out for most, and great for a bit of banter about how bad a shot some guys are/were.