This study investigated the efficacy of ultra-performance liquid chromatography–isotope dilution–tandem mass spectrometry (UPLC-ID-MS/MS) combined with either liquid–liquid extraction–solid phase extraction (LLE-SPE) or quick, easy, cheap, effective, rugged, and safe (QuEChERS) for the simultaneous determination of six sulfonamides and trimethoprim in beef, pork, and chicken powders. Method performance was comparatively assessed based on chromatographic peak intensities, recoveries, matrix effects, detection limits, and measurement uncertainties. Both methodologies generally achieved recoveries close to 100% for all analytes across meat types, indicating high accuracy and reliability. The only exception was trimethoprim in pork samples processed by LLE-SPE. QuEChERS provided superior matrix cleanup and yielded more consistent results across different meat types. The limits of quantification ranged from 5.4 to 9.8 ng/kg, and measurement uncertainties ranged from 1.6% to 8.0% for both methods. These findings demonstrate that both methods are capable of detecting sulfonamide and trimethoprim residues well below regulatory thresholds, with high precision and generally high recovery across various analytes and matrices. By combining the high separation efficiency and sensitivity of UPLC with the accuracy of IDMS, this approach offers a robust tool for routine monitoring and accurate quantification of these veterinary drug residues in meat products, thereby enhancing food safety oversight.