Rav Moshe Shmuel Shapiro זצ"ל, Rosh Yeshiva of Yeshivas Be'er Yaakov in Eretz Yisroel, who was niftar a few years ago, was a ba'al menagein.
Here are a few of his niggunim, for your listening pleasure.
1) שירו לו - note the old Litvish pronunciation of the cholam (cheylem).
בא אל פרעה
Somewhat different is a third,
They are not the jazzed up songs that one hears so often today. They have a simplicity that evokes years past. But it is nice to hear such old fashioned tunes for a change.
Kol Haloshon has a nice selection as well, video and audio.
Here is a nice video, with clips of the ראש ישיבה speaking at public events, with Rav Schach זצ"ל, and recalling a visit of the Chazon Ish.
Who says Litvaks can't sing. ;-)
זכותו תגן עלינו