Pressure sensitive adhesives comprising a linear block copolymer having a rubbery block and at least one glassy block; a multi-arm block copolymer having at least three arms, each having both a rubbery block and a glassy block; a first high glass transition temperature tackifier compatible with the rubbery blocks; a second high glass transition temperature tackifier having compatible with the glassy blocks; and at least one of a low Tg tackifier, a plasticizer, and combinations thereof, are disclosed. Tapes that include such adhesive, methods of making such tapes, and bonded composites using such adhesives and tapes are also disclosed.