There are several synonyms for the phrase "would like" that can be used to express desire or preference in a more varied way. "Wish" is a strong synonym that can convey a more profound longing for something. "Desire" and "crave" are also useful alternatives for expressing strong passion for something. "Prefer" can be used for indicating a tendency towards one thing over another. Other options include "long for," "hope for," and "yearn for." Using synonyms in communication can improve clarity, and it is essential to recognize the nuances each word carries to convey the desired meaning accurately.