Equating two lists, element by element

As @rm -rf mentioned in the comments,

Thread[listA == listB]

accomplishes what I'd hoped. Apoogies for missing this.

As Michael notes, if they are already equal to these values (you're not newly naming listA or listB) and they happen to already be equal , the query just returns "true." If this is the case, use:

MapThread[Equal, {listA, listB}]

as mentioned by MichaelE2 in the comments.

Also

Inner[Equal, listA, listB, List]
Equal @@@ Transpose[{listA, listB}]

{a == d, b == e, c == f}