Pocket Songs PS1145-13. Pocket songs released 2 Big Band discs using a real Big Band with the original orchestration. Both discs have learning tracks and Karaoke tracks. Since they are not the originals the timing is just a fraction different, but otherwise they are note perfect.
Both PS1145 and PS1146 have songs from Harry James, Glenn Miller, Jimmy Dorsey and Louis Armstrong. The first song I listened to was on 1146. Harry James's "I Cried For You" sent shivers down my spine from the first note of the trumpet solo it was that accurate.
Both are still floating around on ebay. If you're a Big Band fan and you can find them grab them both, you won't be sorry. If you can't find the Pocket Songs discs or only want the one title, the link that Danny supplied for Party Tyme is the one you want. They bought the Pocket Songs Library and while they changed the graphics (I prefer the PS graphics), the music is the Pocket Songs track.
The version Pocket Songs used for "It's Been A Long Long Time" is this one....
https://youtu.be/Chs2bmqzyUs