My parameters are these.
These are for all sorts of planets about which I think may be tarraformable. There are plenty of such. The lower mass limit of 0.05 is just under the mass of Mercury, which has nearly the same surface gravity as Mars. And we think about terraforming Mars a lot. I set the upper limit of 3.5 Earth masses... "by eye" because of high surface gravity. Any more than that and it would be above 1.7 or 1.8 G, which would not be pleasant.
These parameters are for planets which could already support humans. 0.4 atmospheric pressure would suffice, if such atmosphere was oxygen rich. 3 atmospheres may be a lot for an earthlike atmosphere, but it would drop quickly with altitude. Pressure at Mount Everest is at 30% of the sea level pressure. Aurora marked as required? ..Magnetic field is important for an array of reasons. 0.05 mass is very low for this searching. The lightest terra I found was at 0.109 Earth masses.
Other than that... If I am looking for an Earth twin, I specify as much as the game allows