In reply to The Green Giant:
The South Wall at Jouyama has some multi-pitch clip-ups up to about 4 pitches but the best ones are 5.10a or above.
A bit further out, Ogawayama and Mizugaki have plenty of multi-pitch routes, but nothing that doesn't require at least some gear here and there.
Haru no Modori Yuki (4 pitches, 5.7) is a doddle though, especially if you dodge the top corner, and has bolts generally where it matters. (Walk off)
Gamma is also good with an avoidable 5.9 crux pitch that requires a Friend 4. Even so, it's probably best to have a light rack and you'd still have a tricky bolted 5.9 slab on P2. (1 x 50m ab to a good path)
But as someone intimated above, if travel time is limited, you might be better off climbing single-pitch stuff. Plenty within reach of Tokyo.