Braham's Debut at New' York.—Last evening this distinguished vocalist made his debut at the Park Theatre, in the Seras-kier, in the Siege of Belgrade. The songs of Mr. Braham were splendid, and several were encored tumultuously. “My heart with love is heating was most exquisitely sung; and indeed throughout, the execution, the pathos, and feeling exhibited by Mr. Braham were superb. This debut was, in point of talent and execution, one of the most s.uecesgful we have ever seen in New York. Only one thing, one little thing, was wanting—a good house. It is a solemn fact there were hardly 300 dollars in the house. The pit was not full, the first tier of boxes miserably thin, the second tier beggarly, and the rest of the house utterly empty.— i