Not aware of one that does both really well (so many differing requirements), but there are solutions (DIY that's easy & ready made).
Perhaps the following links will help with either approach.
Plyworx Pliers Cutters OrganizerWood Stands & Racks for Jewelry Tools (jewelry and watchmaking sources should be particularly useful IMHO).
Rotating Stands (burrs & watchmaker screwdrivers)
Medical cutter rack (for sterilization; could simplify a DIY design out of wood <i.e inverted T to hang cutters & pliers from; seen this done for tweezers>)
Foam Shadowing (expensive if you have it made <custom CNC programming>, but there are DIY solutions out there if you search)
Most of this can be made with a few simple supplies and tools, such as a piece or two of wood, a drill, and appropriate drill bits. Drill press would be nice to keep holes straight, but not absolutely necessary should you opt to DIY a custom solution.
I've found R/C and hobby/craft stores nice local sources for thin wood.
Not mentioned as to what you have or can/can't do, but desk drawers (or a drawer organizer), possibly with trays inside, and even peg board might be alternatives as well.
Hope this mess helps.