I have a three year old so who knows what she will be like in a year but our week is quite regimented and looks like this:
Mon - am we either hang at home or see a friend or go to singing at library. Pm we go to a paid for music class thing.
Tues - nursery all day and I work
Wed - nursery all day and I work
Thurs - am we have a paid for dance class. (Once my younger one is old enough to be paid for for these things my dd will have to choose which of the two paid for classes we go to). Pm we go to a park or the woods usually or sometimes a friend's house or my mum comes over.
Fri - local playgroup am usually and then usually see a friend at my house or theirs pm.
Activities at home either playing with dolls or train set or toy food or more usually some kind of painting or drawing or sticking. Or standing at the sink playing with water. Or watching tv. Or cooking.
Other things we do outside the house:
Hang out in ikea. We make a day of it and include meatballs for lunch. Do this at least once a month. Dd spends hours playing in the bedrooms. I know it is a shop and this is taking the micky but hey ho I often buy lots there.
Local museum good for a runaround in bad weather.
Supermarket trip. Not a big shop and tries both our patience but going for a few things always good.
Swimming but only if someone can come with me to help with baby.
But time and again when asked what she wants to do she wants to go to the park ("the one with the duckpond and cafe mummy")