The notion that we shouldn't be seeing a static system while in supercruise has been discussed already, and without a doubt, something could be done to make it more "immersive".
In my opinion, there are two different ways to do this :
1) Assume that sight is possible at non-relativistic speeds (regardless of how utterly bonkers that would be, a FTL starship essentially moving faster than causality itself, after all...) and give stellar objects distance-relative displacement. I.E : a planet that is 3 light-minutes away appears at the position it was 3 minutes ago, and moving over lightspeed towards it creates a "fast forward" effect.
2) Accept that the very notion of "sight" just smashes itself out of a window above lightspeed, and pretend that the "outside" view we get during supercruise is a holographic overlay. It would be extremely cool if, upon entering SC, we would first get the standard "hyperspace tunnel" vision, but then a hologram-triangle-boot-screen (what we get when opening a UI window anyway...) pops up all over our windows and "builds" the system view.
As for a specific effect for going above lightspeed... In a sense, the trails our ships leave during Supercruise are pretty much that, in fact - sice we spend the vast majority of supercruise travel above that threshold anyway. What additional effect(s) were you precisely thinking of?