Edit:
Some goals will require you to buy items that may be locked. Continue with the other goals to unlock the. This will mean going back and forth with the goals.
These goals have now expired. If you haven't unlocked the goal items you will not be able to unlock them now.
Real Live Royalty
Buy 10 Tea Room Wallpaper (other paper will work)
Buy 2 Tea Plate Displays
Reward: $2,610 +70exp
First Goal unlocks Tea Time Kettle
#2 Old News
Build Tea Time Kettle
Borrow 4 Matches from Neighbors
Reward: $2,650 +70exp
#3a A Sweet Seat
Have 4 sugar cube chairs
Have 4 teacup tables
#3b Royal Renovation
Buy 4 Tea Room Counters
Have 3 Teapot Lamps
Buy 16 Floor Tiles
Reward: $2,750 +75exp
Oven costs $14,000 -- to complete goal, oven must be assembled