There are a lot but I recommend my favorite one karena ku sanggup by agnes monica, it is slow love song but not old :p if you want an old one: Seperti yang Kau Minta by Chrisye I don't know if they are your taste or not but hope you will like them I don't know if there is the translation into english, just googling :p If you didn't find them, feel free to asking me, just message me I'll translate it with my best ^^

if you want modern music mix with traditional javanese music, i suggest you "saratuspersen", you can search on google. saratuspersen is a group band from Bandung, East Java. Or you can try Sudjiwo Tedjo with his "anyam - anyaman" song, some people in Indonesia categorized Sudjiwo Tedjo song's as Kidung (poem sung). People in Indonesia are wrong to introduce dangdut as our original music, Dangdut comes from India (Hindustan), one of the differences are, in India using tabla, in Indonesia using Gendang or Ketipung as the main Instrument. The original music of Indonesia (Java) is called Keroncong, the Legend artist are Manthous, Gesang, Waljinah, Anjar Any and many more. When Keroncong mixed with Dangdut it's called Campursari. The best artist of Campursari is Didi Kempot (My community "Rockabilly Indonesia" called him Elvis Presley in Java. FYI, every Island in Indonesia have their own traditional music! So .. Enjoy our culture. .

Try to listen Nidji's songs for example : Nidji - Laskar Pelangi

slow song easier to understand. ep. suara by hijau daun. separuh aku by setia band.

if you want to understand Indonesian songs..you can request a translation trough a facebook page, https://www.facebook.com/IndonesianSongsLyrics