Question

What are the fossils you can get in each game?

Answer 1

Well...
Gen 1: The Dome, Helix, and the Old Amber
Gen 2: There are none, but the ones from Gen 1.
Gen 3: The root and claw fossils.
Gen 4: The skull and armor fossils
Gen 5: The Cover and Plume fossil

Source

Comments

I thought you get a shieldon from a dome fossile.

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Nope, that's kabuto.

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Oh. Ok, I was thinking of a different fossil then.