MacBook Air keeps shutting off

Hi, and Welcome to the Apple (user-to-user) Community

Re: MacBook Air keeps shutting off

Wondering which MacBook Air Model (Year) you have.

Eg: How to: Identify your MacBook Air model – Apple Support

and

What you were mostly using the Mac for, when you first encountered this issue:

Eg: update / restore / using memory intensive software / adding heaps of data ?

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Re: I replaced the battery so it’s not the battery

Wondering if that happened just prior to the issue appearing ?

(Genuine Apple Battery / Replacement ?)

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Re: the screen just goes black

Apple support articles: 

What to do: If your Mac starts up to a blank screen - Apple Support

If your Mac doesn't turn on – Apple Support

If your Mac doesn't start up all the way – Apple Support

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Re: "I can’t get into safe mode because the computer shuts off before I can"

Ways to start up your Mac – Apple Support

Wondering if your Mac is struggling for space in which to operate.

If possible:

How to: See used and available storage space on your Mac – Apple Support

Eg: A Mac needs at least 50 Gb free for the Operating System to work smoothly

How to Free up storage space on your Mac - Apple Support

If you don't have a recent back up, it is wise to first back everything up if you can.

How to view: View memory usage in Activity Monitor on Mac – Apple Support

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Re: "is there anything else I’m able to do to figure out why my computer keeps doing this"

More Support:

There is a "Get Support" link (online chat, phone, eMail etc.) at the bottom of the MacBook Air Website:

MacBook Air - Official Apple Support

All the best :-)