I used to be bothered if my 3x3x3 was unsolved. Now I don't really care anymore, and my puzzles are probably about 2/3 solved and 1/3 unsolved.
Years ago I started leaving my 3x3x3 one move away from solved to break the habit of being annoyed by an unsolved puzzle. At first it bothered me, but I tried to keep doing it to break the habit. What got me to finally change my mind about unsolved puzzles was that I realized that on a 3x3x3 there are only 18 possible states out of the 43 quintillion states that are exactly 1 move away from solved. I think that's pretty neat.
Also try leaving your 3x3x3 cube in the super-superflip (all pieces in the correct location, NONE of them oriented correctly). That's a neat state because subjectively it's so close to solved, and yet so far from solved at the same time.