Basically something I can use to make things from logos to an image of a bunny. Or something I can use to efficiently edit an image. The longer the list, the better - and I will accept both free and pay programs. I'm a terrible artist who would just like a REALLY GOOD program (or site) to start off with.

Please make sure to mention if the program is free or if you must pay, and why you recommend it (based off your experience, preferably).

Thank you so much!