Actually Gould does have better stats than Vinatieri. Higher kicking percentage accuracy during regular season plus a far better kicking percentage accuracy during the playoffs (albeit admittedly with less attempts). Gould has never missed either a FG or PAT in the playoffs. Vinatieri was 56 for 69 kicking FGs and 70 for 71 in PATs. What really surprised me is the Gould's career long FG is 58 yards while Vinatieri's was 57. I will concede Tucker but I would take Gould over all of the rest of the guys you listed.