If you include viruses the top 10 looks a bit different:

    1  Hepatitis    1,340,000
    2  Mosquito     1,000,000
    3  HIV            770,000
    4  Influenza      489,000
    5  Human          475,000
    6  Rotavirus      440,000
    7  Hantavirus     150,000
    8  Measles        140,000
    9  Rabies          69,000
    10 Snake           50,000

... although the Mosquito-related deaths due include a number of viruses, and all of these numbers are from different sources so should be taken with a grain of salt.