The wine-braised pork at Menya Musashi is amazing, but I don't recall thinking the rest was really that noteworthy. Fūunji is worth trying for the very different style of ramen -- the broth is chicken and fish based.
Thanks we went to Fu unji and it was great too. My wife got the dipping noodles and I got the regular. I did like the pork at menya musashi a lot and the overall flavor of Ichiran the most though. Can’t believe I got some random shinjuku advice when I just happened to be visiting.
Annoyingly some other americans next to us at Fu unji were complaining about the pork in the ramen.
Sadly I've only spent a few days in Shinjuku, and those were the only two ramen joints I hit up. Fūunji is definitely known for their dipping noodles and that broth. If memory serves, Menya Musashi has a rotating menu so that can be fun.
My favorite of that trip was actually the Kio chain in Osaka (cold noodles and beer on a warm summer day were perfect). There are a ton of great resources for sussing out good ramen in Japan, thankfully.
What noticed though was that while all the ramen I tried was better than what I've had stateside, each ramen shop would typically nail one or two things and the rest would be good but not amazing. I never did find an egg as well cooked as I have in the Bay Area.
Also right by Shinjuku, the French bakery was pretty darn good.