Hi, as I promised here are the results of my tests.
It's nothing exact and I didn't take notes but at least something for orientation.
I tried several combinations of MOSFETs and coils. But even after these tests, I do not know
which parameters are important. I'm not at home on switching power supplies.
In any case, here are the results.
Tested MOSFETs and coils:
FDPF51N25, FQP32N20, IRF640, IRF740, IRFP360, SiHP25N40D, STF24N60M6, STP24N60DM2
1. 82uH / 240mOhm / 1.0A (Coilcraft RFC0807B-823KE)
2. 100uH / 220mOhm / 1.2A (Coilcraft DR0810-104L)
3. 100uH / 180mOhm / 1.7A (Ferrocore COIL0810-0.1)
4. 120uH / 250mOhm / 2.0A (Ferrocore COIL0812-0.12)
5. 270uH / 500mOhm / 1.5A (Ferrocore COIL0812-0.27)
6. 330uH / 590mOhm / 920mA (Ferrocore COIL0812-0.33)
7. 470uH / 700mOhm / ??? (unknown)
Used HV caps 2u2/450V (Panasonic NHG) and 3u3/400V (Leaguer REB), diode UF4007.
PCB not built-in, only on the holder, ambient temperature 18 degrees.
MOSFET temperature measured by PT100 contact probe.
I'll start from the end:
Vishay IRF740 ... completely unsatisfactory, high temperature, even above 100 degrees, no matter what coil, 12V source necessary, slow start HV, but the clock is going well (but who knows how long

)
Vishay SiHP25N40D ... not working !, I couldn't get HV more than 50V (from 12V source) with even one coil, I don't know where the problem is
Onsemi FDPF51N25 ... does not work quite well, heats up quickly, scope showed strange course at GATE (maybe too low Rdson?), HV after calibration only 140-150V, does not work at 9V, manual increase duty cycle required
Onsemi FQP32N20 ... works any-so, scope showed significant overshoot on GATE mainly with coil 5-7 (maybe too low Rdson?), the rest as FDPF51N25 above
STMicro STF24N60M6 ... only works well with coil 3-6, it heats up, but it goes quite well
STMicro STP24N60DM2 ... works well, source 9V and 12V, best coil 330uH, temperature up to 36 degrees (at 9V)
Unknown
IRFP360 ... works very well with any coil, HV stable, temperature up to 34 degrees but
TO247 case !!!
Infineon IRF640 ... best choice, no problem, HV stable and fast starting, coil 1-4, temperature below 30 degrees, clear winner
In addition, I have a problem with MPSA42, the NEONs are not blinking, they are just lit continuously.
Change to
2N5551 and everything goes fine. But he has only 160V Uce

My MPSA is called CTMPSA42, I think it's CDIL. Hands away from them. I'm waiting for pieces from NTE and DIOTEC. I wonder if they will work better.
That's all friends ... maybe it will help someone

.