On this website, click on My Account at the top. (under your gamertag)
Then in the middle, you'll see 'Device Management'. Click Download History and everything should be there.
You should also do the license transfer, since it's a new console. (this way your arcade games don't show up as trials)
Add whatever you want to your download queue.
When you power on your 360, everything will download, you can check your active download session by hitting the Xbox Guide button on your controller, go to the left and you should see Active Downloads.
Did this solve your problem?
Sorry this didn't help.
Great! Thanks for marking this as the answer.
How satisfied are you with this reply?
Thanks for your feedback, it helps us improve the site.