I thought I'd have a quick look to see who had the longest streak. This is by no means comprehensive so if anyone can find other then please do.
Consecutive English Seasons 1500+ runs at average over 50
Hobbs - 9
Hick - 5 (all before Test debut)
Boycott - 4 (all after last Test)
Gatting - 4
Ramprakash - 4