Not sure you turn just for the fun of it or with a specific goal in mind. If the former, pick a tool and then try and make it do something that's not what you think is its primary purpose, preferably between centers - on something relaitvely small - and at lower rpms. Try doing some beads - with a 3/4" roughing gouge - or curves - coves or even an ogee with a skew.
Don't know how old your kid(s) are - but they can be a great inspiration for a piece - and the motivation to figure out how it can be turned. If it's interesting it'll get you out to the shop to try and test your theory.
If he/she/them are old enough and likes "doin' things with dad" - and your shop isn't a death trap - take him/her/them with you to the shop and have them participate - selecting wood, looking at tools. If you've got a dust collector, or even a shop vac - and ear protection let them sweep shaving up - and into a hose that makes them disapper. Kids love that. Make sure they understand that the vacumm hose should NEVER get near their face and ears - or the face and ears of siblings. Have them stand - with a face shield on (kids love wearing "grown up stuff" - where you can turn curlies at them (wet wood works best).
Tape a long piece of wide construction paper to a wall, have a kid stand against the wall in profile and trace their outline onto the paper. Make two copies. Let the kid fill in the outline with crayons, finger paint or whatever. On the other copy, sketch in a vertical "centerline" and start looking for line and curves that' when spun would produce and interesting shape to turn. Don't try this with a cat.
Play doodles with a small kid. "Put this pencil in the middle of this sheet of paper, close your eyes and when I say GO, just start making squiggles 'til I say STOP!" Then do something like "Ready? Set. STOP!" Get another sheet of paper. When the kids ready, eyes closed say "OK. Start on THREE. Don't start 'till I say THREE. Read? One . . . Two . . . FOUR!" Get another sheet of paper. Explain the "rules" again looking very "serious" as in so serious it's funny - and obviously intended to make them smile - or laugh.
When you've got your first squiggle - the two of you should look for something - a face, an animal outline, a cartoon character. When one is found - emphasize its lines to bring it out of the background of lines. When the kid gets the idea have them do it and you do it (on separate pieces of paper of course). While he/she/they are looking for things in their squiggle you do the same in yours - looking for a profile that may be interesting to turn.
If you're good at visualizing things, take a rectangular cross section piece of wood - say 6" long and put three or four dots on each end. Number them all - 1 through "n". Pick one from each end and try and visualize them spinning around the resulting axis. Now "see" where the "in focus" vs the "blurred outline" area will be. Imagine turning a bead in that area. Now imagine what the piece would look like when it stops turning.
Consider doing something simple - but elegant - for the wife - a little turned box or even a simple ring holder. Doing something for others while doing something for yourself can be a Double Word Score.
Get out all your edged tools and sharpen the ones that need it. Maybe even tweek a grind - perhaps put a slight curve on a skew and see what happens when you use it.
If you've got some snow on the ground, bundle up a kid or two and go make a Snow Vase (think weed pot) and stick some small branches in the top.
The key - at least for me - is to do something interesting - and fun. Life's full of Got To. Leave time for I DON'T GOT TO - BUT I WANT TO - preferable the WANT TO is fun.