The only tolled undertaking in England where a toll has been removed in the last five years is the Dartford-Thurrock River Crossing, where tolls ceased in April 2003 after the construction costs of the QE2 bridge had been paid for and a maintenance fund built up. The toll was succeeded by a regulatory charge under the Transport Act 2000, at the same level as the previous toll.
I am not aware of any formal proposals from concessionaires to cease the levying of tolls prior to the end of any concession agreement.