1. clean up their toys With close supervision, as soon as they are able to walk, they are able to put toys into the toy box at clean-up time. That young, they often take more out as they are putting others in, though!
As far as doing it in an more organized (but still closely supervised) way, my 22 month old is getting very good about picking them all up and putting them in the box, and putting the books on the shelf (though not neatly, of course!). He is even pretty good at sorting some things into the proper bins--the dishes, play food, and the cars, but he doesn't differentiate between farm animal toys and small rescue hero toys, for example. As far as being told to "clean up the toys" without supervision, my kids are not there yet. Ds1 (5.5 yo) is getting there, but he still needs me to peek in at regular intervals and give him feedback. And a visual timer is very helpful for him, too! DD is very good at cleaning and sorting and doing it in a very neat, organized way, but she needs my constant presence. She doesn't need me to tell her each thing (or really, tell her anything, other than making positive encouraging remarks from time to time) but she needs me to be in the room with her.
2. try new foods All my kids have been pretty good at trying new foods starting from their first exposure to solids. Actually, they are usually excited to try new stuff! For us, if there is a problem, it will come the second time they encounter a food!
Actually, none of them are picky, for which I'm constantly grateful!
3. wipe their own butt Very hard to say....ds1 is 5.5 and still needs to be checked on occasion, but dd is 3.5 and does the job consistently well.
4. stop whining Not sure what you are asking here--do you mean when are they able to recognize what whining is and change their tone if asked, or do you mean when are they mature enough to not do it to begin with? If you mean the first, I'd say my 3.5 year old is
starting to get it when I tell her to "say _____ again in a nice voice, instead of a whiney one." If you mean the second, I'd say good luck!
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5. stop being overly dramatic when things don't go their way Not sure on this one, but I'm hoping by age 35. That gives dh 4.5 more years!
(and it gives me 5.5 years! 
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ETA:
Zip their own jackets I just noticed this evening that ds1 can do this easily, but I have no idea how he learned! We live in Florida, so jackets aren't a big thing for us most of the year. He tried to teach dd how to do it this afternoon, but she couldn't master the connecting part. So I guess I'd say sometime between 4 and 5.5, LOL!
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