A major problem with the Tigers was that its transmission was overburdened and prone to failure because of its massive weight.
Another problem was that if the Tiger driver ‘rotated’ the tank in place (one track forward, other track reversed) it would often bust a track. Not a fun thing to deal with in the midst of combat.
Also the Tiger I, Tiger II, and Elephant were so heavy that they could only be recovered by one of their own kind. Most recovery vehicles the Germans had could not budge them.
The Inter leaved road wheels also became a problem for both Tigers, Elephant, and Panther if: 1) they broke a torsion bar and had to remove the inter leaved road wheels to change one or 2) the inter leaved road wheels got packed with freezing mud.