I've done it. I qualified in 1991, with Notts County my last one. I deliberately left that until last, being the oldest League club. They put me in their programme for the day.
I decided to do it in 87 so it took me four years, from the half dozen or so I'd done by then. I still had my season ticket, but every week when Everton were away at a ground I'd been to already, I would take off somewhere else. Sometimes you'd be able to get two or three in one weekend. I swept up the Devon clubs over the Easter weekend - Torquay on Friday night, Exeter Saturday and Plymouth on the Monday. Nipped down to Lands End on the Sunday, nice weekend... I also did Cardiff on a Friday night then Swansea on the Saturday. Nowadays with so many more Sunday games it would be easier.
It's a great way to see the country and have some good nights out on the ale in different places, just used to get a cheap B and B. I had a mate who did about half of them with me but I did the rest on my own. I was single at the time and I loved it!
I kept up the new grounds for a while but not so much in recent times. Did a few Scottish ones as well, weekend breaks with the missus... Also done a few non league ones. Great hobby I'd say... Go for it!
I got in the local paper because I think I'll I was only the second or third person from St Helens at the time ('wool!!' ?) to qualify...