#1 - Visit Monas or Monumen Nasional
Monas, affectionately known as Sukarno's last erection is a huge (137 metres) spire shaped building in a park in South Jakarta. You can get an elevator to the top but expect to queue about two hours to get there. It's made of white Italian marble and has 32kgs of gold paint on a flame top.
There is a decent national museum underneath for about 50 cents entry. Worth a look.