Sent Gladiator flying out of the Solar System with a blast, dove into the sun to contain the power of the M'Kraan Crystal, shielded Jean's ship during atmospheric re-entry, teleported hundreds of mutants out of another dimension, was able to break through Jason Wyngarde's telepathic control/save Scott Summers from dying,
I'm still going through the episodes
I suppose one might argue if the chaotic magics of Chaos Grundy f*cked with Amazo then Phoenix might do the same.
On the other hand if when Amazo tells Lex Luthor why doesn't he just destroy "everything" it could be interpreted that he meant more than just Earth, but we don't know for sure.
Personally I would think Amazo probably does copy the energies of the Phoenix as really only some funky plot device magic gave him issues and the Phoenix isn't magical last I checked.
Also if you went strictly by the collection of heroes Amazo took on and owned, they greatly surpass the mutants, etc. that Phoenix slapped down when it comes to power.
There is also the casualness with which Amazo did things. Like moving a planet not due to it being a threat, but shunting it into another dimension merely because it was in his way.
Also he pulled a Buddha on Lex and The Atom when they tried to escape to the sub-atomic universe. He was just all "nope guess what you're now somehow in the palm of my hand".
I wish they would of kept in the scene from the JLU series finale where during the Darkseid invasion it shows Amazo is another dimension just going "I wonder if it's safe to go back yet?".