So... whilst Llamasoft are working on bringing Tempest 4 to consoles and PC, they're also looking at adapting their no-longer-available iOS games for PS4. Jeff Minter has released this vid of Gridrunner and it is looking great:
I love the spherical (and other shapes!) versions of the classic levels
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Edit: It is planned that the games should hopefully all appear for PC, PS4 and XBO.