Finite Types A4, B4, D4
Finite Types F4, H4
Finite Types E6, E7, E8
Affine Type D4 and its finite quotient, see https://arxiv.org/abs/2107.10334 section 5.
Finite Quotients of Affine Types E6, E7, E8
Doubly Extended Types D4, F4, E6
Various: (1) GR(3,9) highly Plücker clusters, (2) A higher genus surface cluster algebra, (3) Algebra of a once punctured cylinder with one marked point on each boundary.