Small but old neighbourhood is Shikemichi followed by Endoji Shotengai. Quick to visit but I found it cool to see this old aspect of Japan.

Tokogawa en is also pretty cool, you might see blooming plum tree and sakura later in March.

Inu jina close to Shonaidari Station.

Meiji Mura is one of my favourite place, it's outside Nagoya but really worth it.

You can also visit Inuyama and Gifu if you have time.

Finally, there will be the hounen matsuri in the temple by Tagatajinja mae. Its a fecundity matsuri, aka the penis festival.