It sounds like this is happening to more than one game but could you please verify? Also is this happening in game, upon game launch, or just randomly even while just sitting on the dashboard? If it is happening to just one game upon launch
try clearing the system cache. To do so follow these steps:
From the dashboard go to settings>system>Storage (or memory) select your storage device by pressing Y>Clear system cache> Yes
Try and see if this solution worked.
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If it doesn't then try deleting any recent big updates and DLC. To do so follow these steps:
From the dashboard go to settings>system>Storage (or memory) select your storage device that has the game on it> Scroll through and delete any updates and DLC (you can redownoad DLC later)
Test to see if it solved your problem.
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Disconnections when launching all games:
Could be a corrupt profile, To fix this follow these steps but keep in mind you must know your accounts email and password which I'm guessing you do because you made this post. Anyways to delete your profile follow these steps:
Go to Settings, and then select System.
Select Storage.
Select All Devices.
Select Gamer Profiles.
Select the gamertag that you want to delete.
Select Delete.
Select Delete Profile Only. This deletes the profile but leaves saved games and achievements
Test to see if this solved your issue.
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Disconnections in-game for all games, or random disconnections:
Try restarting your router/gateway/modem (whichever you are using)
Test
Still not working? Try a wired connection or if you can't do a wired connection try improving your wireless signal. Or even better, for good measure, try both.
Test
Still not working? Try to maximize bandwidth by eliminating the number of devices connected to your internet.
Test
Not working again? Try reducing the number of people you are playing with if any on your console.
Test
If it is still not working contact your ISP (Internet Service Provider) and see if they know anything about what may be happening.
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If they send you back here then
START HERE and get back to us with that info.
Hope this helps!
~B4RG