Orthodontic treatment is commonly associated with pain, leading to reduced patient compliance and treatment adherence. Non-steroidal anti-inflammatory drugs (NSAIDs) are effective in reducing this pain by inhibiting prostaglandin synthesis. However, this mechanism may also interfere with orthodontic tooth movement (OTM) by affecting bone remodeling. This narrative review investigates the existing literature published between 2004 and 2024 to assess the impact of various NSAIDs on OTM and identify those that balance pain relief with minimal impact on tooth movement. Evidence shows that NSAIDs such as aspirin, ketorolac, diclofenac, and nimesulide significantly reduce OTM. The results for ibuprofen, meloxicam, and celecoxib were inconsistent with both no influence or a reduction in OTM, depending on dosage, mode, and duration of administration. Conversely, tenoxicam, nabumetone, etoricoxib, and parecoxib appear to have no effect on OTM. Among these, etoricoxib appears particularly promising due to its favorable gastrointestinal profile, high COX-2 selectivity, and negligible influence on OTM in clinical doses. However, the limited number of human trials highlights the need for further research to develop evidence-based guidelines for pain management that preserve treatment efficiency in orthodontics.