Hamilton did have problem with tyres,he said it himself this year and also he said he had to reduce his speed so he could save them.
Everything I wrote stands. Hamilton was beaten by both rosberg and button while in prime in full season. He beat them twice ok (and that 2nd over button was just 2 points). Schumacher in his prime was untouchable.

Schumacher still hold most records.

List you posted dont have any logic... heidfield above kubica and guy beat him many times in same car... also he is on 23rd place? above rosberg? list is joke... Dunno which statistic they watched.

Fangio is definetely to be considered on all time list,but he drove very very different era. Prost,even if I am not fan is also high on the list. Vettel is not. Vettel as 4x champion is joke.

Watch races,expecially 2006 season with schumi on brasil and monaco. Watch what he do without DRS. Guys cant do it now even with it.
Watch also his lap on rain in belgium.
Guy have 10 out of 10 marks in every single area:
qualify speed,race speed,tactic, mechanical development of car,everything... He had most passes in race even in his comeback when he wasnt close to prime one.

Also,you can separate race speed with qualify speed because race is not 5 laps,but 55. if you burn tyres in those 5 laps,you will be 0.5 - 1 or more slower in rest of the laps. Hamilton did had such problem in 1st few years.

My list would be:
1. Schumi
2. Alonso
3. Hamilton,Fangio,Prost
4. Mansell,Senna etc