When it comes to finding synonyms for the phrase "spill stream," there are several options to choose from depending on the context. For instance, the term overflow could be used to describe excess water spilling over the banks of a river or stream. Similarly, the word flood may also be used to indicate a significant amount of water that has spilled over. Alternatively, overwhelm might be used to describe a situation where a small spill has quickly turned into a larger one, causing the stream to overflow. Depending on the context and the degree of severity, there could be several other synonyms that accurately convey the meaning of "spill stream".