feel like与would like尽管都有“想要”的意思,但用法是不一样的,所以不宜换.
would like是主观的想要,而且多指主动、积极的想法,如：
I would like to go swimming this afternoon. Would you go with me?
I would like you to finish all the work today.
feel like相对愿望比较弱,而且多是因为客观原因（如身体,心情等）造成的负面想法,如：
I don't feel like eating anything. 我不想吃东西.（可能是情绪或身体造成的）
希望对你有帮助