How can transfer my game progress from HTC Legend to Samung Galaxy S3?
As long as none of the devices runs JellyBean (Android 4.1 and up), and it's just about those Angry Birds (as the comments suggest), take a look at AngryBirds Backup:



As the screenshot shows, the app supports a variety of the AngryBirds games (I don't know if it's complete, as I'm no "gamer", but it looks pretty much). So use this app to backup your AngryBirds data from the old phone to SD, copy the data to the SD card of the new phone, and use the very same app to restore them there.