Transmission-- Joy division
Tales of Brave Ulysses-- Cream
This Is Not A Love Song-- PiL
Taj Mahal - Django Reinhardt
Take The Skinheads Bowling - Camper Van Beethoven
Taxi Grab - Jethro Tull
Tea for the Tillerman - Cat Stevens
That’s Not My Name - The Ting Tings
- Twist And Shout - The Beatles
Take It Away - Paul McCartney
Take Me Home, Country Roads - John Denver
Tenderness - General Public
Time - The Alan Parsons Project
Touch Of Grey - The Grateful Dead
- Time In A Bottle - Jim Croce
To Be Alone With You- Bob Dylan
Time- Tom Waits
Thunder on the Mountain- Bob Dylan
They Are All in Love- The Who
Titties and Beer- Frank Zappa
That’s the Way I Like it- KC and the Sunshine Band
This is Halloween-- Danny Elfman
Thunderstruck – AC/DC
T.N.T. – AC/DC
Take It Easy – The Eagles
Time After Time - Paul Revere & The Raiders
Tangled Up in Blue – Bob Dylan
Tear-Stained Letter – Richard Thompson
Things Have Changed – Bob Dylan
Too Much Monkey Business – Chuck Berry
Truckin’ – Grateful Dead
That’s Entertainment - The Jam
Telephone Line - ELO
Thieves like Us - New Order
Take Me Out - Franz Ferdinand
Take Me to the River - Talking Heads
Oh gosh. Thanks. 
I do what I can 
Just to add some commentary on these:
The Gloria Jones song is the same one Softcell later covered.
Tank! may be better known as the theme to Cowboy Bebop, although there is a 3.5 minute version in addition to the 1.5 minute one used for the show.
TiK ToK - Kesha
Take It Off - Kesha
Thank You (Falletinme Be Mice Elf Agin) - Sly and the Family Stone
Thin Line Between Love and Hate - Persuaders
Three Little Birds - Bob Marley
- Time after Time- Cyndi Lauper
I’m starting to wonder if I gave this list sufficient thought. 
I know. I still have a bunch of songs left, even though a dozen, or so, have been posted since I was last here. I only get one more choice.
Tony’s Theme - Pixies
Teenage Riot - Sonic Youth
Toe Cutter, Thumb Buster - Thee Oh Sees
Tidal Wave - Thee Oh Sees
(You may not recognize this one by name, but it was used in a pivotal scene in Breaking Bad. Awesome song, had to listen to it twice.)
Touch Sensitive - The Fall
1 - True Disaater - Tove Lo
2 - Toy Soldiers - Martika
3 - Toes - Lights
4 - Temple - Beverly Klass
5 - Trust - Sarah McLachlan
- Travelin’ Band - Creedence Clearwater Revival