Also Beechwood 4-5789.
Both use the old fashioned named exchanges.
Travis Tritt - Here’s A Quarter (Call Someone Who Cares)
All Alone By The Telephone - by Irving Berlin
Hello! Ma Baby - Al Jolson
Squeeze - 853-5937
Phone by Lizzo (about losing your phone)
Blondie - Hanging On the Telephone
Jimmy Buffett - If the Phone Doesn’t Ring, It’s Me
Jimmy Buffett - Everybody’s On the Phone
Another Rainy Night (Without You), Queensryche
The ending of the video is hilarious. 
She’s been trying to get the attention of a cute guy during the whole video. At the end, he gives his number to a guy in her band, and she has the best WTF?? expression.
My contribution to the thread is Payphone by Maroon 5.
The Telephone Hour, from Bye Bye Birdie
Robert Cray - Phone Booth
I’m in a phone booth, baby
Number scratched on the wall
I’m in a phone booth, baby
Number scratched on the wall
I’m new in Chicago
Got no one else to call
Georgia Satellites, Keep Your Hands to Yourself
Darlin’ (I’m feeling kinda lonesome, I’d call you on the phone some…)
Todd Rundgren, Hello It’s Me
Girlschool - Emergency is excellent but I prefer this cover version: Motörhead - Emergency
And, their sort-of sequel to it: Calling America
Also:
Primitive Radio Gods – Standing Outside a Broken Phone Booth with Money in My Hand (only one mention of a call in the lyrics, but gets special credit for the title )
Beck - Cellphone’s Dead
It might be about a phone, but who can tell with those lyrics?
The Kinks - Long Distance
Cheap Trick - She’s Tight
The Knack - Good Girls Don’t
And while the lyrics are not about a phone call, the last minute or so of Pink Floyd’s Young Lust features a phone call.
Telephone Song - Stevie Ray (and Jimmie) Vaughan
Deee-Lite - Call Me
I mostly remember this because a friend and I used to make fun of this terrible lyric:
“You can call me any time
On my hello happy line.”
Chuck Berry’s “Promised Land”:
… Los Angeles, give me Norfolk, Virginia
Tidewater four ten O nine
Tell the folks back home this is the promised land callin’
And the poor boy’s on the line.
Tennessee Ernie Ford’s “Operator, Information (Get Me Jesus on the Line)”