Basically, any way that the Tiger can either be introduced earlier, or not as rushed an introduction as in OTL.
Perhaps if the prototype was completed in January 1942 (perhaps as a result of the encounters with the Matilda tanks, which, like the T-34's, the Germans had very little that could penetrate the armour of). If Wikipedia is correct (yeah, yeah I know), the requirement was for the design to be ready by June 1942. If the design is completed earlier, the prototype could then be tested out and improvements made to the design before the June deadline, thus the production design wouldn't have as many problems as in OTL.
As has been noted several times, sloping armour (certainly at that front) to lower the weight, better transmission and engine, and removal of the interleaved road wheels would all make the design better, more reliable and a far more dangerous foe.