One of mine is 8 and I really want him to feel competent and confident with this stuff, luckily he's a keen bean so does the following:
Makes bed everyday
Opens curtains
Tidies bedroom daily
Puts packed lunch together (I make sandwiches)
Gets own breakfast
Puts dishes in the sink
Puts laundry away (sometimes needs help with this)
Makes sure all dirty clothes go in laundry basket
Helps sort laundry into lights, darks whites in prep for being able to put a wash on 
Wipes and lays table for meals
Gets drinks for everyone at mealtimes
sweeps up after meals
Occasionally hoovers
Tidies house on regularly (does this without asking as enjoys it)
Helps put shopping away
Helps meal plan
Would be interesting to see what others do. I'm really waiting for the day he can clean the loo independently...
I'm also curious at what age children start cutting their own nails.