Large-scale evidence

1.  All continents that moved (North America, South America, Antarctica, Australia, India, Southeast Asia) went directly away from one unique central point.  It is just north of Madagascar in the Western Somali Basin, centered on Wilkes Rise and the Aldabra Islands.

2.  At that central point is a feature unlike any other on the ocean floor.  It appears to be a giant crater.

Click pictures to enlarge
 
 

3. The Earth flexes as the Moon revolves around it.  The place where it is the least flexible is shown in dark blue below.  Something has changed the layers deep below the surface there, and geologists have no idea why.  But it is right over the giant crater.

This solid Earth (body) tide projection was "generated from the actual history of the tidal forcing".  It is a measure of elasticity.  The image was computed using the 3-D model SPRD6 of Ishii and Tromp. --Latychev, Konstantin, Jerry X. Mitrovica, Miaki Ishii, Ngai-Ham Chan, James L. Davis. 2009. Body tides on a 3-D elastic earth: Toward a tidal tomography.  Earth and Planetary Science Letters, Vol. 277, No. 1-2, pp. 86-90.

"The tidal response of the Earth reveals a great deal about its inner structure."  "The calculations show that the perturbation in surface deformation is large, with contributions from both elastic moduli and density heterogeneity." --Ishii, Miaki, Konstantin Latychev, Jerry X. Mitrovica, Ngai-Ham Chan, James L. Davis. Body Tides on a Three-Dimensional Elastic Earth: Toward a Joint Tidal and Seismological Tomography. American Geophysical Union, Fall Meeting 2008, abstract #DI11A-08.

4.  In their original positions next to the crater, the coasts of Africa, Madagascar, and Australia are rounded (bights).
(The brown segment shows the former position of the Horn of Africa).

5.  Around the crater are features made by powerful forces.

6.  Minor mountains on the continents that moved are on the side nearest the crater.
(Australia's original position is as in 3. above, with Southeast Asia attached to what is now northwest Australia)

7.  Major mountains are on the side farthest from the crater.

8.  If continental crust were being carried about on brittle plates, even though it is flexible it would keep its shape.  But if continental crust slid on top of a stationary surface, it would stretch and bend, especially where it is narrow.