Analog signal current integrators are provided having tunable peaking functions. Analog signal current integrators with tunable peaking functions enable data rate dependent loss compensation for applications in high data rate receiver integrated circuits incorporating advanced equalization functions, such as decision-feedback equalizers. For instance, a current integrator circuit includes a current integrating amplifier circuit comprising an adjustable circuit element to tune a peaking response of the current integrator circuit, and a peaking control circuit to generate a control signal to adjust a value of the adjustable circuit element as a function of an operating condition of the current integrator circuit. The operating condition may be a specified data rate or a communication channel characteristic or both. The adjustable circuit element may be a degeneration capacitor or a bias current source.