The phrase "reached into" can be substituted with several other words that convey a similar meaning. Some synonyms include "dug into," "plunged into," "delved into," "penetrated into," "explored," and "searched through." Each of these words implies an action of physically reaching and entering into a space or container in order to retrieve something. Additionally, these synonyms can also be used in a metaphorical sense to express the idea of delving deeply into a topic or exploring a particular issue. By using different synonyms for "reached into," writers can add variety to their language and make their writing more engaging and descriptive.