Sorcerer's Lair - The free table is an excellent source of points. A more thorough walkthrough is contained in the old solution below. Even without any kind of guide it's very generous indeed, but a helpful tip is to try for the Squirrel Girl Multiball as often as possible. Marvel: Women Of Power - This should be your first stop for a big scoring table. The following tables are recommended high scoring ones. Thanks to MistaCelestial for confirmation of the change.
I will leave the old solution below for reference (or if you want a quick method to get the points) but obviously this is now far easier. These scores will need to be new scores (ie after the patch) to count towards the achievement. _ As of the new patch () this achievement now requires you to score 1,000,000,000 points over MULTIPLE tables.
I will leave the old solution below for tips on high scoring tables. Thanks to multiple TA-ers for clarifying in the comments. So in theory anyone can get it with enough time and patience. New Edit It appears that this achievement is actually possible by repeating the same table over and over.