Disclaimer: I know nothing about playing the shamisen beyond niagari, sansagari, and honchoushi, and some of the parts. I might take it up someday when I can afford it!
These were songs I heard on the YouTube channel 斉藤雅之, who uploaded old records, but it has since been terminated. I was able to find all of the songs I was looking for except these two.
The first one is a folk song, probably a funauta. My playing is too fast, and definitely not fully correct, because whenever I think about the song in my head, it always turns into Yoneyama Jinku. This song starts out really similarly, but something is different. I heard it on an Ichimaru album from the 60s with orchestra accompaniment, so I’m not entirely clear on the shamisen part. It is called “(something)-Bushi” (I know, not very helpful.) I translated the first verse once and it was something about a boat returning and the sailor going home. This, along with the tune, is probably my biggest lead. The meter is a line longer than the typical 7-7-7-5. I’m this close to remembering, but I just can’t. I think there’s a “yoisho” or a “korya” in there?
The second one is most certainly the beginning of a 端唄. The vocals first start just after that last low note. It was probably sung by Fumikichi Fujimoto, but the video is gone now. I don’t remember much, but that little bit seems pretty unique and recognizable if you know it. Sometimes it pops into my head like the Oriental Riff, but the Japanese version. 
I’m asking here since I can’t think of anywhere else where people would be familiar with traditional Japanese music. Also, excuse the awful fake shamisen sound, it’s all I have!
