It seems a shame that if you want to have a bit of a whinge about your body you are told to be grateful that you are healthy. Of course I'm sure the OP is very grateful that she is healthy but that doesn't mean she can't have a bit of a moan from time to time?
I have tiny boobs too. I hate them because:
When I was younger my mum and other family members took the piss out of me for having small boobs, calling me a boy and making me feel really self conscious.
The media seems to imply that unless you have large boobs you are unattractive.
When I was breastfeeding I would get loads of comments about how they couldn't hold enough milk, how my daughter would need a bottle to top her up, how I only got pregnant so I could have some boobs 
Clothes don't fit, they just hang. Necklines are made to make the most of cleavages, strappy tops are hung too low, blouses are baggy at the front, etc.
I wear padded bras all the time and am lucky enough to have a dh who loves me for who I am and who has never once made a disparaging comment about my boobs.
I'm happy with them the way they are now. I wear padded bras because otherwise clothes don't fit but if I could buy clothes for small breasted women then I would and I could then buy cheaper bras.