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Does this happen with a specific game or any game for that matter? Did you download the game(s) from the Play Store or somewhere else?
iOS doesn't multitask. It serial tasks inserting pauses in the action when you switch and resuming almost instantly when you switch back.
As to multitasking in on S3, I think you have to hold down the home button to access it. It's also what makes popup play possible.
I think multitasking is limited by whether the device can simultaneously use the necessary radios and/or process information quickly enough through the CPU/GPU and Ram. I'm not an expert though.
Texts and games should be able to multitask unless the game overloads the CPU/GPU and Ram or if it's somehow related to online play requiring continuous stream connection.
As to multitasking in on S3, I think you have to hold down the home button to access it. It's also what makes popup play possible.