In English there is a single word: "nostalgic". But we rarely use it. In this case say: This song really brings back the old times. "Bring back the old times" is a very common way of expressing 懐かしい。 For more examples go here: http://www.csse.monash.edu.au/~jwb/cgi-bin/wwwjdic.cgi?1Q%B2%FB%A4%AB%A4%B7%A4%A4_1_

”懐かしい“　を英語で言うと Dear. Desired. Missed. Nostalgic. Sweet memories. Wistfully. Longingly と言う意味ですが　例えば 私たちの家は快適ですが、やっぱり前の家がなつかしい。=Our house is nice, but I still miss the old one. 久々に聞いたこの曲。なつかしい。= Hearing this song after so long really brings back the old times(old memories). この町は私達にとってなつかしい町だ。=This town is dear to us. （ある曲を聴いて）なつかしいな= (after listening to a certain piece of music so nostalgic. I miss. I want to hear like meaning.

「なつかし」は「Nostalgia/Nostalgic」です。例えば、「（ある曲を聴いて）So nostalgicー。」 Long for=want. miss =/= want.