There are many synonyms for the phrase "are appreciative". These include grateful, thankful, obliged, beholden, indebted, and pleased. Each of these words conveys a sense of recognition and gratitude for something that has been done or received. The word grateful implies a strong sense of appreciation and acknowledgment, while thankful suggests a more general feeling of gratefulness. Obliged conveys a sense of indebtedness, while beholden suggests a personal connection or sense of indebtedness. Indebted implies a sense of moral or ethical indebtedness, while pleased suggests a general sense of pleasure or satisfaction. Each of these synonyms can be used to convey a sense of gratitude and appreciation in different contexts and situations.