I went to see terrorvision 7 times as a kid. Never beaten it. Ladytron and cocknbullkid 5 times is the closest I've come. Pretty impressive seeing cocknbullkid 5 times considering she only did one album I think.
Kirk Brandon (who is ill in hospital as i type - speedy recovery, sir) /Theatre of Hate/Spear of Destiny - ive lost count, but certianly more than a dozen times.
plenty of others ive seen 6, 7, 8 times (the clash, uk subs, wasted youth, 999, no way, the damned, ) etc etc etc
Jonah Matranga all over the country from London to Aberdoom probably about 10-12 times. Must have seen Lindisfarne about same years ago. The Burning Hell quite a few times, Quo a few and probably numerous others.
Beyond the Black 11 times
Within Temptation 12 times
Delain 13 times
Saw Within Temptation three time in six days should have been two but they added a Southampton date so it was rude not.