This might help. All games are LED except where noted.
Alien Star - Idle = 1.06A
Alien Star - Peak = 1.57A
Avatar - Idle = 1.02A
Avatar = Peak = 2.89A
Bad Cats - Idle = 1.22A
Bad Cats - Peak = Unknown (I don't think anyone played it that night)
Big Buck Hunter - Idle = 1.14A
Big Buck Hunter - Peak = 2.07A
Demolition Man - Idle = 1.25A
Demolition Man - Peak = 2.76A
Metallica - Idle = 1.04A
Metallica - Peak = 5.36A (Not sure about this...might be a false reading. The day before it registered a peak of 2.12A)
Rolling Stones (Stern) - Idle = 0.96A
Rolling Stones (Stern) - Peak = 3.55A
Safari (EM - Incandescent) - Idle = 0.68A
Safari (EM - Incandescent) - Peak = 2.57A
Star Trek (DE - Incandescent) - Idle = 1.89A
Star Trek (DE - Incandescent) - Peak = 3.45A
Super Orbit - Idle = 0.77A
Super Orbit - Peak = 2.30A
Walking Dead - Idle = 1.06A
Walking Dead - Peak = 2.56A
Wizard of Oz - Idle = 1.46 - 1.92A
Wizard of Oz - Peak = 5.29A
I have one on Batman '66, but it's a different brand and doesn't log enough information to make an accurate assessment.
Just to follow this up, I used to have 7 games and a popcorn machine in one of our bedrooms on the same circuit and never had an issue. It was funny when you walked into the bathroom and the lights would dim when someone hit the flipper buttons.
I'm not advocating that you try and do such a thing, but I never had a problem.