The adjective unbroken describes something that is in one whole, undamaged piece, or something that's continuous, like your unbroken string of foosball victories.
Unbroken objects are as good as new, like your unbroken tea cups and the glass that remains unbroken despite being dropped in the sink. An unbroken promise or contract has been kept, rather than violated. If your spirit is unbroken, you haven't been discouraged by difficulty. And an unbroken night of sleep is not interrupted by anything that might disturb it.