Both are thrushes, members of the family "Turdidae".
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Members of the family Turdidae, Thrushes, usually live five to
seven years.
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Jays are larger, and have more white and gray coloration, and
have a crest. They are in the family Corvidae, with crows and
ravens. The bluebirds are a deeper blue, and are thrushes, family
Turdidae.
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Yes, thrushes eat aphids. The songbirds in question (Turdidae family) win a gardener's love and respect for braving two common outdoor pests: aphids and snails.