Theatre. By Particular Desire. The Managers respectfully inform the Public, that in obedience to the general wish, the Opera of The Barber of Seville, will be performed on Friday next. Last Night of Mr. Philipps' Engagement. Friday Evening, March 8, 1822, Will be performed a new Comic Opera, (fourth time here) called the Barber of Seville. Translated from the Italian. The Original Music by Rossini. Adapted to the English Stage, (with a new Overture) by Mr. Bishop, with additions by Mr. Philipps -- and performed in London, Dublin and New York, with unbounded applause. The Opera produced under the immediate direction of Mr. Philipps. Count Almiviva, Mr. Philipps, In which Character he will introduce the Ballad of 'The Soldier's Bride;' Pomposo, or a Receipt for an Italian Song, (a Mock Bravura)--and the Cavatina, by Bishop, 'Love Has Eyes.' Doctor Bartolo, Mr. Burke. ... : To which will be added the Comic Opera of the Review; Or, the Wags of Windsor. Deputy Bull, Mr. Francis. ..