This missions needed to complete TBOGT are as follows:
Tony's missions
I luv L.C.
Drive Tony to the nightclubs, take Armando and Henrique to the projects in Northwood, and then go to your apartment.
Practice Swing
Pay a visit to Rocco at the golf club and get the union official to speak. Waste the Messinas and escape from the club.
Chinese Takeout
Go to the Dragon Heart Plaza for Rocco, and escape from the building when the meeting with the triad turns sour.
Bang Bang
Use the sticky bombs to blow up several targets and solve Rocco's union problems.
Blog This!
Leave a comment on the Celebinator's website, take him on a tour of the city, and intimidate him when you reach Happiness Island.
Frosting On The Cake
Take Evan to the diamond exchange in East Hook. When the deal is ambushed, eliminate the bikers and escape from the cops.
Boulevard Baby
Go to Bahama Mamas and dance with Monique. Kill her boyfriend, eliminate security and escape from the club.
Mom's Missions
Momma's Boy
Defeat opponents in a Cage Fighting match to recover the loan sharks debts.
Corner Kids
Go to the deal with Armando and Henrique, and eliminate the cops when the deal is interrupted.
Clocking Off
Go to the pier in Bohan with Armando and Henrique, and kill the rival gang that attempts to steal the shipment.
Mori's Mission
Kibbutz Number One
Get to the docks in Bohan with Mori and kill his rivals when they refuse to do the deal.
Yusef's Missions
Sexy Time
Steal the Buzzard from the yacht for Yusuf Amir. Go back and destroy the yacht, eliminate the arms dealers and deliver the Buzzard to the helipad.
High Dive
Meet Ahmed and Tahir at Rotterdam Tower. Chase Ahmed to the top of the tower and parachute safely to the ground.
Mori's Missions
This Ain't Checkers
Race Mori and two other racers. If you win the race, Mori will stay out of Gay Tony's life forever.
No. 3
Take the car from the carpark in Algonquin, and follow the Kibbutz brothers. Land the vehicle safely on the container.
Yusef's Mission
Caught With Your Pants Down
Steal a NOOSE APC for Yusuf; fight off the cops and deliver it to Yusuf's construction site in Algonquin.
Tony's Missions
Not So Fast
Take the Buzzard from Yusuf's helipad, land on the roof of the Libertonian and ambush the diamond deal.
Ladies' Night
Take the Ancelottis' helicopter and follow Gracie's suspected kidnapper to the hideout in Alderney.
Bulgarin's Missions
Going Deep
Go to the carpark off Topaz Street, hide a sticky bomb on the front of the car and take out the corrupt N.O.O.S.E. team.
Dropping In
Parachute on to the building in Star Junction, go down to the office of the Liberty City Rampage and kill Marki Ashvilli.
In The Crosshairs
Go to Little Italy in Algonquin, take out the four snipers and eliminate Bulgarin's assassins.
Yusef's Mission
For The Man Who Has Everything
Jump onboard the train, get to the front car and disconnect it from the rest of the train so that Yusuf can steal it.
Rocco's Mission
Party's Over
Go to Maisonette 9 and protect Gay Tony from Bulgarin's assassins. Then go to the entrance and destroy the backup.
Tony's Missions
Ladies Half Price
Go to the exchange at the Charge Island Sewage Works, get Gracie back and shake off Bulgarin's assassin.
Departure Time
Destroy the heroin shipments at Funland and kill Timur. Get to the airport, catch up with Bulgarin's jet and execute him.
After completion of the preceding missions will the achievement unlock.
Credit given to:
http://www.gta4.net/ballad-of-gay-tony/missions/