What computer is right for me?

What I need it for:
Entertainment: Watching movies, tv shows, etc. (No blu-ray) Listening to music.
Business: I run a small business from home.
Gaming: Minecraft, The Sims 3 with all stuff packs & expansion packs, plus custom downloaded content. The Sims 4 when it comes out. Small computer games such as Plants vs. Zombies. Nothing major.
Misc.: Facebook, email, browsing. Netflix.
I have lots of pictures, home videos, etc.
I normally have at least 4-5 programs open at any given time.

Current Computer: HP TouchSmart 310 All-In-One
Complaints: Slow. Gets too hot and shuts down within 1-2 hours of turning it on.

Looking for: Desktop, NO all-in-ones. No laptops.

Price Range: $1500-$2000, could be more if needed.

I want a computer I don't constantly have to bring somewhere to fix something. I want one that is going to last a long while and give me few, if any, problems. I don't know much about computers so I'm having a hard time trying to find one that would fit my needs. Could you help me, please?

Thank you!

Added (1). I live in the US.

Monitor, mouse, and keyboard do not have to be included. Though, if it is, that's great too.

Added (2). I would also like Windows 7. I really do not like Windows 8.

Well, for your needs, I would suggest a Microsoft all in one desktop system. Windows 8.1 is great for low grade graphics games and other apps. It is also great for watching movies, both physical and downloadable, music and just overall games.

I highly recommend the iminion from ironside computers! Http://www.ironsidecomputers.c…