I was wondering though whether it's possible to find a table like sat.name, sat. model, Tx band, Tx power and so on f
I don't think that table would be overly helpful.
You just design that forward. You calculate how much power must reach the satellite, you calculate path loss, you define a receiver operation characteristic (ie. amount of outages you're willing to accept), you derive a security margin from that, this gives you amount of power you need to radiate, and based on your ability to be sure that your satellite is within the beam center, and your amplifier vs antenna cost trade-off, design an antenna/amplifier system.
It really doesn't help much to know what others did for their very specific application. Link budget calculations are pretty down to earth (hrhr, a pun) and deterministic – and so are dish and amplifier datasheets. What'd be interesting would be the models for the path loss variations that the operators assume – but you can't read that from the amplifier power and antenna gain, but would need to look into their link budget calculation.
TL;DR: don't compare your antenna with other people's antenna. It's not about the power density you put out, it's what you do with it, and thus, knowing that a different system uses a certain gain and power is absolutely not helpful for you – a factor of 2 in link requirements could easily be incurred by doing some specific detail differently (e.g. channel coding, which you can't see from the outside), and adding 3dB (=factor of 2) gain to a 40dB dish makes a large difference.