On Grand theft auto liberty city stories What is the name of the song on rise FM when a man said Manchester the official capital of Europe?

The song you're referring to on Rise FM in "Grand Theft Auto: Liberty City Stories" is "The World Is Yours" by the rapper "The Notorious B.I.G.". The line you mentioned, about Manchester being the official capital of Europe, is part of the in-game radio chatter that adds to the satirical atmosphere of the game.