VA Work-Study Improvement Act This bill modifies certain pay and eligibility requirements under the Department of Veterans Affairs (VA) work-study program, including minimum wage and timesheet requirements. The bill expands the list of qualifying work-study activities to include state government, local government, or nonprofit organization activities that would benefit veterans or members of the Armed Forces. The bill also modifies minimum wage requirements under the work-study program. Under the bill, the hourly minimum wage paid under the work-study program must be the higher of (1) the minimum rate of basic pay for any federal employee (under the general schedule or federal wage system pursuant to specified regulations), (2) the hourly minimum wage in the state where the services are to be performed, or (3) the hourly minimum wage of the local government with jurisdiction over the area in which the services are to be performed. Additionally, the VA must ensure that (1) an individual participating in a qualifying work-study activity may electronically record such hours, and (2) the supervisor may electronically approve such records. Finally, the VA must annually publish specified information regarding qualifying work-study activities carried out during the year, including the demographics of individuals participating in the program.