You should have googled.
Chemical peels.
Try stuff with glycolic and/or lactic acid in it.
If you want a cream you could use clinique's, garnier's, retin-a, cocoa butter. If those don't work, you'd have to use hydroquinone only on the spots. Some fade creams already have that in them ex. ambi. Ambi was very greasy, I only used it once.
If it's really bad, you should see a dermatologist.
I've used this.
I used it for maybe 2.5 weeks on my whole face. It made my face soft and brighter (not lighter). I think it lightened my dark spots some, but I got lazy and stopped using it. It says use it for at least a month to see how well it works.
I'm going to get a chemical peel soon. They have quicker results.
Here are some reviews on it. Google for more.
Always Use Sunscreen/Sunblock!! At least SPF 35.