There are plenty of other reptiles if you allow fractal reptiles.
There are four examples of such reptiles in [here][1].

[One example is the dragon fractal.][2]

For polygons, your examples are the only ones.
For *rational* reptiles, (see reference) there are an additional four 2-reptiles for the plane, which are fractal.

  [1]: http://www.math.msu.edu/~ywang/Reprints/reptile.pdf
  [2]: https://en.wikipedia.org/wiki/Dragon_curve