I prefer to write with my right although I can use the left (this is largely taught rather than natural), either way my handwriting is useless unless I spend time on it.
Soldering, I would like three hands if it is all the same but either.
Fine work, either.
Force: right for force but left can guide things.
Eating, chopsticks is right only unless I have a set in each. Cutlery I can swap at will.
Sword- right is dominant for single hand and the right is the "upper" hand for two handed. Two swords- the bigger sword if it exists is preferably the right, the right is also the one above my head.
Bat games- see sword although I can use my left if I need to.
Throwing, right unless I have something in each or it is a shoulder harness/timed/alternating thing like throwing knives. Frisbee I can throw with both but I like the right more.
Punching, right if only because my left was fractured a while back and putting serious force through it is not all that comfortable.
Regarding feet I suppose skateboarding is all I have here. Regular footing, push mongo when not switch with switch not meaning all the much (although I am far from some people in this regard) and a tendency towards "old school" tricks means while my right is probably dominant my left can more hold it together when the time comes. I prefer to turn backside on a ramp although that is just for messing around and 180s are fine either way, switch or regular, and always have been, if adding flips then once I have them it does not really matter. 360s are probably backside if only through practice (definitely ollies while no-comply, boneless and early grab are either way) as are pivots, powerslides/Bert slides are either. Primo is usually about the right foot and spinning clockwise (not sure how to name spin on this one) if only because it makes coming out of things spinning is that much easier or shifts weight to the right place for it (same for Casper although switch or anti Casper changes it), truckstand/pogo is right foot down although I can use left if necessary (it kills hands and boards so I tend to avoid it). I prefer to one foot manual and one foot nose manual with the right although in my experience most people do (even goofy riders and people of either handedness).
Hands in skateboarding, right is for grabs although I can use the left for various things or grab if I have to and preferably right for anything more anything more technical than a fingerflip. If I could handplant/similar in a meaningful way it would be my right although as it stands with no force required (momentum is used) it can be either.
When it comes to kicking someone again right is dominant but left can be used and seen as the left is used to pivot on....
Keyboard- tough one, right if I am using one hand but I can mash keys quite accurately with my left when the time comes. Mouse is right hand but I can use the left if necessary, trackpad is either.
Game controller, right for traditional joystick unless the pad is otherwise, FPS games are forward, back and strafe with the left stick and look/aim with the right stick.
"There are also a load of presidents that were/are leftys"
since when were we looking up to politicians again?
A question though, many left handed people I know use a mouse with their left but leave it in right hand mode with regard to the buttons (so they double click with the middle or even ring fingers and I will never know how they use back/forward buttons)
edit: forgot guns.
Right hand and right shoulder if the choice is there although if the weapon allows I can work with the left shoulder, never used two pistols or two single handed weapons aside from in a game/at the arcade so I do not know how that plays out for me.