A well-known example in the deformation theory of compact complex manifolds is the one given by Hironaka in his 1962 paper *An Example of a Non-Kählerian Complex-Analytic Deformation of Kählerian Complex Structures*. The construction gives rise to many interesting phenomena (see the associated [Wikipedia article](http://en.wikipedia.org/wiki/Hironaka%27s_example)), but the one that interests me most is that this was the first example of a deformation of Kähler manifolds which has limiting fibre which is not Kähler. 

> Aside from Hironaka's example, are there any other explicit deformations of compact Kähler manifolds such that the central fibre is not Kähler?