For me - shotguns ---are mechanically / and esthetically a piece of fine craftmanship ( especially with a good highly figured walnut stock ) ...and there is something fun and satisfying ....about making 25 well executed / smooth and confident shots on a Skeet, Sporting Clays or Trap field ...at moving clay targets....
I shot a 91 yesterday ( out of 100 targets ) - no great / but a good day for me these days - with poor eyesight plaguing me a little. I was at my local Skeet club / one round was a perfect 25 ...others not so much ( 21, 21, 24 .....but it was a very good day with one of my Browning Over Unders - this one in a 28ga with 30" barrels ....and some of my buddies and I had some laughs, told some lies, jabbed each other a little ...and had a great day!
What's not to like / about a day out shotgunning ....?? And I don't really care if its a $ 500 shotgun ...or a $5,000 shotgun in my hands ...its about whether I can make it "perform" for me...on that day .../or next week / or the week after ....
Versatile - sure / shotguns can kill most any target or bird that flies ...in good hands ..../ they can be tactical ( if you like that aspect ) / they can be defensive ( if you choose ) ....they can be admired for their craftmanship ...
Can a rifle or a handgun be versatile too ....sure .../personally, I depend on my 1911's for tactical defense ...my shotguns are for bird hunting and clay targets .../ too me, rifles are a little boring ....and a little boring to shoot ....(maybe its because they only make one small hole at a time ...)
....or maybe because they seem more "machine like" ...vs a more active part of my wing or clay target shooting ...
but to each his own ...we don't have to all like the same aspect of the shooting sports or gun hobby... / Shotguns are a big part of my gun hobby ...and I like it a lot ..../ and I'll always have a dozen or more shotguns around in 12ga, 20ga, 28ga and .410 ..../ I have 20 or 30 handguns for a variety of reasons that I enjoy shooting every week as well ...and only a few rifles these days ....that I rarely shoot .../ but I'd suggest you investigate shotguns a little more ...and see what you find.