Some radio shows

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Worldwide - Gilles Peterson - R1 12am Wed night
One World - R1 12am Thurs night
John Peel - R1 10pm Tue-Thu
Session in Scotland - R1 8pm Thu
Blue Room - R1 5am Sat
Rock Show - Martin Bate - Beat 106 10pm Sun
Late Junction - R3 10pm most weekdays
Mixing It - R3 11pm Sun
Ricky Gervais + Stephen Merchant - XFM 1pm Sat
Jonathan Ross - R2 10am Sat
Lauren Laverne - XFM 10am Sat
Comedy - R2, R4, R7 daily and weekly

A lot of these are available all week at http://www.bbc.co.uk/radio