Nowhere near as many other people, but I've only been following Torquay for about five years or so (i'm quite young and Dad started taking me when I was about 8 before getting a season ticket in the Promotion year)
Plainmoor - Torquay
Roots Hall - Southend (unbelieveable memories!)
Whaddon Road x2 - Cheltenham
Huish Park x2 - Yeovil
Vetch Field* - Swansea
Aggborough - Kidderminster
Broadfield Stadium - Crawley
The Fraser Eagle Stadium - Accrington
Hillsborough - Sheffield Wednesday
Underhill - Barnet
Twerton Park - Bath City
Kitkat Crescent - York City
Memorial Stadium - Bristol Rovers
Gigg Lane - Bury
Brunton Park - Carlisle
Layer Road* - Colchester
St. James Park - Exeter
Highfield Road* - Coventry
Field Mill - Mansfield
New Lawn - Forest Green Rovers
Boundary Park - Oldham Athletic
Kassam Stadium - Oxford United
Home Park - Plymouth Argyle
Nene Park x2 - Rushden and Diamonths
Raymond Macenhill Stadium - Salisbury
County Ground x2 - Swindon Town
The Cherry Red Fans Stadium - AFC Wimbledon
Bescot Stadium - Walsall
Wessex Stadium - Weymouth
Racecourse Ground - Wrexham
Adams Park - Wycombe
Wembley Stadium
Other Random Ground Visits:
Home Park - Plymouth Argyle
Deepdale - Preston North End
Millenium Stadium
The Old Wembley*
The Amsterdam Arena - Ajax
City of Manchester Stadium - Manchester City
* indicates that club has moved grounds since I went/ stadium out of use (in the old Wembleys case)
So not the biggest list, but I'm sure that over more years that will be added to a lot!