I'm familiar with some examples of pairs of derived equivalent varieties, for example an abelian variety and its dual, a K3 surface and certain moduli schemes on it, or the [Pfaffian-Grassmannian derived equivalence](http://arxiv.org/pdf/math/0608404v3.pdf).


However, when I looked for other known examples, I could only find papers constructing single examples of Fourier-Mukai partners, and no comprehensive survey.


Can anyone provide references where I can find out more about known Fourier-Mukai partners, giving me a broad overview?



List of known Fourier Mukai partners?
There are actually several known Fourier Mukai partners. 


1. Standard flop/Atiyah flop. See Chapter 11 of Fourier-Mukai Transforms in Algebraic Geometry by Huybrechts.
2. Mukai flops (Chapter 11 of Fourier-Mukai Transforms in Algebraic Geometry by Huybrechts), stratified Mukai flops <https://arxiv.org/abs/1111.0688> and Grassmannian flops <https://arxiv.org/abs/1206.0219>.
3. Abouf flops <https://arxiv.org/abs/1706.04417> and Ueda flops <https://arxiv.org/abs/1812.10688>.
4. Any birational but non-isomorphic projective Calabi-Yau 3-folds. See <http://www.tom-bridgeland.staff.shef.ac.uk/publications/pub6.pdf>
5. Examples from Homological Projective Duality (HPD), e.g. intersection of two $G(2,5)$ and the intersection of the dual Grassmannian (<https://arxiv.org/abs/1707.00534>), the intersection of two spinor varieties of $Spin(10)$ and the intersection of their duals(<https://arxiv.org/abs/1709.07736>). Both of these pairs are non-birtional Calabi-Yau's. The general theorem about the derived equivalences and the kernel functors can refer to <https://arxiv.org/abs/1804.00144> and <https://arxiv.org/abs/1704.01050>
6. Pair of Calabi-Yau 3 folds in $G\_2$ Grassmannian. <https://arxiv.org/pdf/1611.08386.pdf> It should be noted that these CY3 are non-birational.


I think there are many examples of FM partners from birational geometry, moduli spaces, and HPD theory.


