There are a couple approaches to disabling the StreetPass function from your 3DS. Here are a few. Note: there is no way to bring the "local" image on the top screen unless you are playing with someone else nearby with games such as Mario Kart 7 or Animal Crossing New Leaf.
Turning off the Wireless Communications
According to Nintendo Support:
Push the wireless switch on the right side of the Nintendo 3DS down.
Verify that the wireless LED is off.
Disabling StreetPass via StreetPass Mii Plaza
You will have to enter the StreetPass Mii Plaza application on the Home Menu. When you have access to move around, go to Settings, which should be a Red Toolbox with a wrench sticking out of it. When you press it, the first option will say StreetPass. The next screen will ask, "Activate StreetPass?" under it, it states "selecting no will deactivate StreetPass." All you have to do is press No and StreetPass should be deactivated.
Deactivating Titles using StreetPass Functions
As you have mentioned, this is another great method to stop getting StreetPass tags for the games that utilize StreetPass-related functions. Unfortunately, this will not prevent the StreetPass tags from arriving at the StreetPass Mii Plaza. You are required to proceed with the previous approach to completely disable the StreetPass function.
I hope this helped!