If you are on xbox live. You have the newest Backwards compatibility update. Microsoft stopped updating it before 8955. If you're on xbox live right now, you'll have 12611. Every Xbox360 dashboard update has the xbox1 compatibility update built in.
GTA San Andreas is on the backwards compatibility list. But if your game is a different region from your console, it wont play. I'm also not sure if the GTA double pack disk works or not.
Another issue that might be causing the game not to play is the hard drive itself. If you built the hard drive with HDDhacker but didn't include copying partition 2 files. You need to add partition 2. If it's a retail xbox360 hard drive, it should already have partition2 included.
If you're worried about Title updates for the games. I'm pretty sure they were taken down with the original servers xbox1 live service. They downloaded when you connected to xbox live for xbox1, but now you simply can't connect to live with an xbox1 game anymore. None of the GTA games had any live functions though, so none of them could have title updates.
