So for transistor testing you need a current source with 8 uA base current. A digital ammeter for checking it, and to measure hfe connect it to collector circuit. You need a variable voltage power supply for collector circuit.
As not many people test individual transistors over such wide range, you may need to start from this.
On the olden days, Tektronix offered a combined transistor curve tracer with most of your specifications.
Recently i Saw a Rigol product but I am not sure how this would work for you.
To test Zeners you need again a variable voltage power supply and a meter to read 25 uA. To protect it from breakdowns and shorts I would use a 1 kOhm resistor and read the voltage across it.
Install all equipment in a temperature-controlled cage and use metal walls to prevent RF interference.
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And please, be careful with voltages over 50 V. 1000v can kill an operator, so use diode and transistor holder blocks or sockets made of insulating material so nobody would touch metal parts.