Alan Dzagoev and Mario Mandzukic are also front-runners after strong starts to the tournament but it's the Bayern Munich striker that leads the way
Andriy Shevchenko's second-half masterclass to ensure Ukraine opened with a victory has seen him slashed to 16/1 (17.0) to finish as the tournament's top scorer.
The 35-year-old Dynamo Kiev striker completed a fairytale comeback for the co-hosts after Zlatan Ibrahimovic had put Sweden ahead in controversial circumstances.
The Swedish striker, who started as a 33/1 shot has also been cut to 25/1 (26.0) despite Sweden's loss making them outsiders to progress to the knockout stages.
Mario Gomez continues to be the market leader though after he scored the only goal in Germany's 1-0 victory against Portugal in thier opening Group B clash and followed up with a first half double against the Oranje.
Alan Dzagoev, who put in two superb performances for Russia, scoring three goals, is 6/1 (7.0) with William Hill while Mario Mandzukic - who hit a double for Croatia against Ireland - is 20/1 (21.0). Mandzukic's fellow Croat Nikica Jelavic, who scored the other goal in their 3-1 over Ireland, is a 20/1 (21.0) shot.
Karim Benzema remains a relatively short price at 16/1 (17.0) considering he failed to find the net against England but with more inviting match-ups against the suspect defences of Ukraine and Sweden, he still has a fantastic chance of building a good total. Italy's hero of matchday one Antonio Di Natale is 25/1 (26.0) amid rumours that Mario Balotelli may make way for the Udinese forward against Croatia on Thursday.
Robert Lewandowski is a 25/1 (26.0) shot and continues to be well supported in the market, as he was pre-tournament after Poland made an unbeaten start and look well paced for making the knockout stages after their 1-1 draw with Russia.
Cristiano Ronaldo is also 20/1 (21.0) but it will take a significant change in fortunes for Portugal to recover from a slow start and qualify from Group B.
Samir Nasri is a 25/1 (26.0) shot after he scored the opening goal of France's Euro 2012 campaign against England. The Manchester City forward looked in fantastic form and could still provide some value as an each-way bet.
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Jim Knight is Betting Editor at Goal.com and has been tipping football games since he was old enough to place a bet. He is a Leicester City fan, writer and member of the We Are Going Up Podcast
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