Aimlessly is a term that is often used to describe someone or something that lacks direction or purpose. However, there are several synonyms which can be used to express a similar idea. The term "randomly" can be used to describe something that is done or moves without any specific plan or purpose. "Haphazardly" is used to describe something that is done in a careless or unplanned manner. "Wanderingly" is a word that may be used to describe someone who is simply wandering around without any clear destination. "Unsystematically" can also be used to describe something that is done without any order or methodical approach. Ultimately, these terms can help to provide additional context and variety in writing.