Vector processing engines (VPEs) employing a tapped-delay line(s) for providing precision filter vector processing operations with reduced sample re-fetching and power consumption are disclosed. Related vector processor systems and methods are also disclosed. The VPEs are configured to provide filter vector processing operations. To minimize re-fetching of input vector data samples from memory to reduce power consumption, a tapped-delay line(s) is included in the data flow paths between a vector data file and execution units in the VPE. The tapped-delay line(s) is configured to receive and provide input vector data sample sets to execution units for performing filter vector processing operations. The tapped-delay line(s) is also configured to shift the input vector data sample set for filter delay taps and provide the shifted input vector data sample set to execution units, so the shifted input vector data sample set does not have to be re-fetched during filter vector processing operations.