Emerging wireless digital communication standards specify a large variety of channel coding options, each suitable for specific application needs. In this context, several recent efforts are being conducted to propose flexible channel decoder implementations. However, the need of optimal solutions in terms of performance, area, and power consumption is increasing and cannot be neglected against flexibility. In this paper we present a novel parameterized architecture for multi-standard Turbo decoding which illustrates how flexibility, architecture efficiency, and rapid design time can be combined. The proposed architecture supports both single-binary Turbo codes (SBTC) of 3GPP-LTE and double-binary Turbo codes (DBTC) of WiMAX and DVB-RCS standards. It achieves, in both modes, a high architecture efficiency of 4.37 bits/cycle/iteration/mm2. A major contribution of this work concerns the rapid design time allowed by the well established design concept and tools of application-specific instruction-set processors (ASIPs). Using such a tool, the paper illustrates the possibility to design application-specific parameterized cores, removing the need of the program memory and the related instruction decoder.