Although the public squares in New Orleans are neither numerous, nor upon a very extended scale, they are located with good taste, and are exceedingly convenient. The centres of Canal, Esplanade, Rampart and Basin streets have a very considerable space set apart for embellishments. Shrubbery, and other ornaments, are in progress, and they already begin to assume a beauty that does much credit to the city authorities. Nothing is more conducive to health than these pleasant resorts for wholesome exercise. Here the toil-worn citizen, the wearied scholar, and the confined artizan, may breathe the fresh air, enjoy a delightful morning or evening promenade, and catch an imaginary enjoyment, in miniature, of the blessed country. WASHINGTON SQUARE is in the third municipality; is bounded by the Elysian Fields, Great-Men's, Casa Calvo and Frenchmen streets.--Though admirably situated, owing to the distance it stands from the denser portion of the city, it has not yet received those attentions which, at some future day, will render it a beautiful promenade. PLACE D'ARMES, or _Parade Square_, is still more prominent, and is embellished with fine trees; but, as it is in the centre of the first municipality, with the public buildings on one front and the levee on the other, it is a matter of surprise that it has not been improved in a style worthy of the inhabitants; who, certainly are capable of appreciating the advantages of such delightful grounds. CIRCUS PLACE is below Rampart street, with St. Claude on the rear, and St. Ann and St. Peter streets on its sides. This is the square once known as _Congo Park_; and is the place where the negroes, in olden times, were accustomed to meet to while away the cares of servitude. Many an old inhabitant can remember when he beheld these thoughtless beings dancing "Old Virginia never tire," or some other favorite air, with such a hearty gusto, upon the green sward, that the very ground trembled beneath their feet. Though the loud laugh, and the unsophisticated break-down, and double-shuffle of these primitive days have ceased, the spot yet remains, with all its reminiscences, as original as ever, with its capabilities of improvement still unimpaired. LAFAYETTE SQUARE is decidedly the handsomest in the city. It is in the second municipality, and has St. Charles and Camp streets in front and rear, and several public buildings in its immediate neighborhood. It has a handsome and substantial iron railing around it, based upon well laid blocks of granite; is well laid off in regular walks, and is ornamented with beautiful and rare shrubbery, set out with geometrical accuracy on a raised surface, calculated to make it dry and pleasant. ANNUNCIATION SQUARE, in the same municipality, is the largest, and, consequently, may some day become the most elegant in the city. Orange and Race streets are on its front and rear--and facing are some very tasteful private residences.