Off the top of my head:
Kumagawa (Route 219) to Hitoyoshi.
Kumagawa kudari down the river from Hitoyoshi
Hinagu Onsen and Kodayaki kiln
Izumi tea growing area
Gokanosho and Itsuki
Momigi and Heike no Sato and tsuribashi
Sendantodoro no taki
Umenokitodoro suspension bridge and park and waterfalls
Tsunetake Moritaka sword smith in Yatsushiro
Mt. Sengan views behind Matsushima, Amakusa
Kukichi gorge and trails
Yamaga lantern museum and town (festival August 16 or so)
Tsujunkyo irrigation bridge in Yabe (Yamato-cho)
Stone bridges in Toyoson and Stone Bridge museum (inland from Miyahara - behind Hikawa Onsen with a stone bridge on the intersection corner)
Miyamoto Musashi Park and grave
Aso Milk Road
Takamoriyusui Tunnel Park (cool in summer- so much water came out of drilling the rail tunnel to Takachiho that they couldn't continue)
Tsukimawari Restaurant to the NE of Takamori - old style ryori cook-it-yourself (across from Dengaku no Sato)
Puppet theater at Seiwabunrakumura, next to a Mitinoeki in Yamato-cho 清和文楽邑 清和村
Reitaibashi across the Midorigawa on Rt. 218
Back roads down to Naidaijin Bridge and the roads beyond which go past waterfalls and tons of terraced fields.
https://www.google.com/maps/place/Miyahara,+Hikawa,+Yatsushiro+Distric...Unoko Waterfalls in the Naidaijin and Tsujunkyo area that's a gorge with a series of tall falls.
https://www.flickr.com/photos/anaguma/4819183704Maizuru Castle overlook, Tsunagi
https://www.flickr.com/photos/anaguma/403522509Yamanami Highway
Take a look at:
https://www.youtube.com/watch?v=Yomlvi7OZk0