Being appreciative of someone or something means having a deep sense of gratitude or thankfulness towards it. Some synonyms for this phrase include "grateful for", "thankful for", "indebted to", "obliged to", "acknowledging", and "esteeming". These words convey a sense of admiration and respect towards the person or thing being appreciated. Other synonyms may include "valuing", "cherishing", "prizing", "treasuring", and "enjoying". All of these words show a strong positive sentiment of regard and appreciation towards something or someone, highlighting the importance of acknowledging and valuing the good things in life.