lottery bricks
Rebotto and I like this idea, we will definitely look into it. Lottery chances could be increased by the economy. We'd have to agree on a price, and make a limit to how many tickets you can buy a day (someone could just come in with $100,000)
hats
Personally, I don't think the server should do this just yet. Hats are already confirmed to be in development by Badspot, and we'd rather wait for that then mess with a hatmod.
petmod
This sounds like a fun idea, but it'd be pretty gimmicky. I'm not sure if a petmod exists, though.
job related actions adding to paycheck instead of direct deposit; paycheck deposited on tick
This is definitely going to be looked into.
the new motion functions can be used to make sellable running shoes
This might be a bit broken, since criminals with this would be very overpowered if a cop is trying the walk-and-baton method. Maybe a Gym system would work, with workouts costing money and your stamina increasing by a small amount each session.
money earned is based on hunger, play time, brickcount, edu, and experience
Paychecks are already based around playtime and edu, and I'm not really sure how hunger and playtime would affect your payroll.
some fun customization aspects, maybe font, font size, and color values
Definitely happening.
randomized sickness based on health; medical job tree
We could have a skill tree for certain jobs, or people get skill points each edu level and they can spend it on certain aspects of their job.
fix/remove real estate
I'm not exactly sure what you mean by fix, but removing bought real estate will be an option.
Edit: Well I guess a lot of this has a chance of happening now that Aoki is officially part of the coding team!