Sounds like your father is the controlling type. He's not going to be satisfied until you do exactly what he wants you to do and gaming is not it.
You have to assert some independence, my mother used to be the same she thinks spending time at the computer is a waste of time though she's happy enough to sit in front of the TV all day.
Just walk out or say you're going to do so. Once they realise they can't control you anymore they'll loosen up. Or never speak to you again. Which your father sounds like the type to do.
Don't lose your rag its counterproductive and toxic. It also gives them plenty of ammunition to use as emotional blackmail against you. Make it clear you're you own boss and they'll loosen up. Or not. In which case its time to make a move and out the door.
I've had countless battles with my mother over this. When I come to visit she still doesn't like it but she no longer tries to enforce it, its more of a weak complaint. Takes time to wear 'em down.
As for the age issue and him not being around much longer... if thats what he told you then its emotional blackmail. Classic parent strategy if they can't coerce you directly, try to do it indirectly instead. Same with the renting-is-too-expensive argument. 60 is no age he could go on another 20 years my mother is 75 and the chap she lives with is 83 and fit as a fiddle he'll probably outlive me lol. My father and stepmother are both in their 70's and 80's.
Your sister getting married and moving out... is working out exactly according to his plan for you both. Ultimately you have to ask yourself, whose life is it anyway, yours or his?