When it comes to describing someone or something that appears exhausted, run-down, or fatigued, there are numerous alternative words that can be used instead of "tired-looking". Some commonly used synonyms include "weary", "worn-out", "fatigued", "spent", "exhausted", "drained", "lifeless", "lethargic", and "listless". Other descriptive phrases that could be used include "dead-tired", "burnt-out", "bushed", "pooped", and "dog-tired". Depending on the context and severity of the situation, any of these words or phrases could be an effective substitute for "tired-looking" and help to convey the appropriate level of fatigue or exhaustion.