authorizing new iPhone to access iTunes and iMovies library of prior purchases

Hi Jazburke,

Welcome to the Apple (user-to-user) Community.

Re: How do I authorize my new iPhone to access iTunes and Movies library of prior purchases?

Seems you authorise computers rather than devices.

How to: Authorise or deauthorise your computer for iTunes Store purchases – Apple Support

Your Apple ID is the account that you use to access all Apple services and make all of your devices work together seamlessly. After you log in, you can use the App Store, iCloud, iMessage, Apple Music, Apple TV+ and more.

On iPhone:

You may need to first sign in (to your iPhone) with the Apple ID you used for the purchases.

Sign in with your Apple ID - Apple Support

NB: After signing in and while still in settings

you associate your iPhone to your Apple ID in iTunes and App Store

If you reach the limit of associated devices you can use:

Manage the list of devices that can download and play items that you bought with your Apple ID.

View and remove your devices that are associated with Apple ID purchases - Apple Support

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More info:

If you want you can:

Use Sync Library to access your music library across your devices - Apple Support

Else:

How to: View your purchase history for the App Store, iTunes Store, and other Apple media services - Apple Support

How to:

Redownload music - Apple Support

Redownload TV shows and movies that you purchased - Apple Support

Redownload apps and games from Apple - Apple Support

Redownload books and audiobooks - Apple Support

If needed:

If there's an issue when you redownload apps, movies, or other content from Apple - Apple Support

Re: Movies:

Watch purchased movies on a device that is compatible with the Apple TV app

and

Watch your rentals from the Library tab in the Apple TV app

or

from the Movies menu in iTunes.

You can watch online at tv.apple.com

All the ways to watch Apple TV+ and more

Watch films, TV shows and live content in the Apple TV app – Apple Support

All the best :-)