The College Board just published long-awaited concordance tables to compare new SAT scores to old, and new SAT scores to ACT.
You can download the data here if you wish, or look at them visually below. The tables in the data correspond to the tables on the visualization (that is, for instance, that Table 7 in the College Board worksheet can be viewed on Dashboard 7 here, using the tabs across the top.)
For convenience, Old SAT scores are always in light gray. Notice also I've labeled the chart when the axes are not synchronized.
As this data is public, I have cited the original source, its purpose is educational, and this blog is not monetized, I believe the use of it in this format falls under Fair Use.
As always, hover over the dots for details.