I'll start with the past tense:

Gone, Gone, Gone - Echo & The Bunnymen

Beat Mash Boom Baby! - Come and Get It

A double! Come and Go With Me

Go Away Little Girl

Here - Gravity Kills

Devo

Here To Go

Tones on Tail

Go! (I believe I posted this song with a different video for Halloween.)

A couple versions of the same song

I prefer the Elvis version sung with so much passion.

Do these fit?

Don't Come

Come And Go

Come Back

Yes, they all fit!

Here's one from Primus:

"Here Come..."

A "comeback" song from Bobby Vee

First hit he had had in 3-4 years. Bob Dylan played in Bobby Vee's band on its first tour in 1959 or 1960.

Here Comes the Sun https://www.youtube.com/watch?v=GKdl-GCsNJ0

The Clash

Moody Blues

I immediately thought of the show Come From Away. Heres a song from that musical.

Come a Little Bit Closer https://www.youtube.com/watch?v=ZuWkVqum6a8

Al Green

Here I Am (Come and Take Me)

Going to the Chapel of Love https://www.youtube.com/watch?v=KXS2ak64mbs

Peter Frampton

Sail Away, one of my favorite songs from 1974

When the parents go from (leave) us. (Gehen = go)

This shows the German influence on Tejano music.