What monitor resolution?
It looks like your budget is too small for GTX 970 or R9 390.
Search for a GTX 960 4GB or R9 380 4GB, but with price closer to 200 EUR.
I could not find any GTX 970 or R9 390 for 300 euro on dabs.ie.
I said closer to 200 euro, not at 200 euro, because even GTX 960 cards are above 200 euro and the 4GB versions seem to start at around 250 euro in Ireland.
Which one?
All from my list are good cards for their respective price.
At your resolution I am inclined to recommend the GTX 950 2GB for 184 euro (and you keep the other 116 euros).
You said that we should not worry about bottlenecking and wattage, but since you have such an ancient monitor, you should list your CPU and your power supply, just to be sure that there are not any potential problems.
Good.
Can you increase the budget?
Do you intend to replace that monitor?
200 is pretty cheap, budget is 300. I have a 1360 x 768 resolution
I can't increase the budget and maybe I will upgrade to a 1080p monitor but not any time soon
200 is pretty cheap, budget is 300. I have a 1360 x 768 resolution