Probably in the second quadrant, with presidents like James Monroe, William Howard Taft, Grover Cleveland and George H.W. Bush. It won't be a particularly eventful or accomplished (although this will be through no fault of his own) but he will be a steady hand, a respectable leader, who leads the country the right way, handles the executive branch well, and does things right.
Frankly, he'll probably end up most similar to Barack Obama than anyone else, and I expect his presidency to mirror Obama's with the exception of Obamacare. Start off with the country in crisis and handle it very well. Deal the rest of your term with a hostile and intransigent Congress that prevents the country from making any legislative progress at all. Handle the executive branch well, serve as a steady hand, and generally be remembered as a respectable and solid leader.
That's not to undersell him -- that revitalization of our national character is exactly what America needs right now, far more than any legislative victory. But I think history books will mostly find his presidency forgettable. Like Gerald Ford, he'll be overshadowed by his far-more-historically-significant predecessor. "And after Nixon, Ford was the reset button, and the country got back on track until the next significant event, stagflation and the hostage crisis."
This is what I think, until I see how his presidency unfolds.
22-34. I don't know how forgettable Biden's presidency will be, or what it will lay. But I think it definitely may get blended in as part of the era of the early 2000s politics. But crisis could happen. And I think if there is an event similar to a case of Covid, Terrorism, or a chance for unity, that he will be a prevailing president and could be ranked higher just for the sake of his leadership.