Abstract Introduction Burns are a common trauma that cause acute severe pain in up to 80% of patients. The objective of this narrative review is to evaluate the efficacy of opioids, non-steroidal anti-inflammatory drugs, paracetamol, gabapentinoids, ketamine, and lidocaine in the treatment of acute pain in burn victims. Methodology The databases explored were PubMed, Embase, ClinicalTrials, and OpenGrey. The included randomized, controlled clinical trials assessed the analgesic efficacy of these drugs on hospitalized patients, had no age limit, patients were in the acute phase of the burn injury and were compared to placebo or other analgesic drugs. Studies describing deep sedation, chronic opioid use, chronic pain, and patients taken to reconstructive surgeries were excluded. The Jadad scale was used to evaluate quality. Results Six randomized controlled clinical trials (397 patients) that evaluated the analgesic efficacy of fentanyl (n = 2), nalbuphine (n = 1), ketamine (n = 1), gabapentin (n = 1), and lidocaine (n = 1) to treat post-procedural pain were included. Fentanyl, nalbuphine, and ketamine were effective, while lidocaine was associated with a slight increase in reported pain and gabapentin showed no significant differences. Two studies were of high quality, one was of medium high quality, and three were of low quality. No studies on the efficacy of NSAIDs or paracetamol were found. Conclusion Evidence of efficacy is very limited. Fentanyl, nalbuphine, and ketamine seem to be effective for controlling acute pain in burn patients, whereas gabapentin and lidocaine did not show any efficacy.