Besides the priest, only an ordained catholic Deacon.
Roman Catholic AnswerUsually the celebrant, the priest (or Bishop) presiding at the Eucharist, reads the Gospel, so the question should probably read: "who, besides the presiding priest (or Bishop) may proclaim the Gospel?" And the answer would be: any other concelebrant bishop or priest; or any other bishop or priest at the Mass; or a deacon. And only a bishop, priest, or deacon may ever proclaim the Gospel at Mass.