I was hoping to find something like firecalc, but for the acquisition phase.
FIRECalc has a basic feature for this - see the "Not Retired?" tab, enter the actual year you intend to retire, and enter how much you will deposit annually until then. For cFIREsim, you can enter the year you intend to retire at the top, and put your income in the "Income/Savings/SS/Pension" section, with an option to inflation-adjust your income or not.
Neither appear to actually produce a retirement year as an output, though, they require you to enter that yourself, and produce a success rate. But you can keep calculating for different retirement years until you find the earliest year with a success rate of 100% (or whatever success rate you wish).