I work in a prison school and we have a standardized test all teachers use, but it does include T/F, multiple choice, and matching answers. I think the system can handle other types like completing the sentence but you have to add in several possible answers for it to score.
Essay questions may be the most challenging but most indicative that the student has understood the material. However, it is often disliked as it is subjective and will require rubrics to ensure expectations are clear. Completion questions on the other hand are the easiest to answer. However, there are still some issues with these types of questions since some correct answers may not be what the teacher was looking for. It is good to have a mixture of different types of questions and ensure there is a balance.