The manga is cute (it's illustrated by the same person who did Vengeful White Cat in the Dragon King's Lap, if I recall correctly) and both the manga and light novel pair would be a decent shoujo series to replace the former now that the novel's done.
I actually own the complete Sugar Apple series on Japanese Kindle, even though I cannot read it (I tried using Google Translate before I gave up...)
Seems interesting. Thou, I don't like the artist, which is the same one doing death march illustrations. Characters often look creepy / deformed. Which didn't stop me from reading, but I never enjoyed the illustrations.
“不遇職【鑑定士】が実は最強だった〜奈落で鍛えた鑑定スキルが、チート化して全てを見切る神眼になった件” is just a former title of the web novel. The light novel title is “不遇職【鑑定士】が実は最強だった ～奈落で鍛えた最強の【神眼】で無双する～” and the series title is given simply as “不遇職【鑑定士】が実は最強だった”.
The English title as on the cover is “The Unfavorable Job [Appraiser] Was Actually the Strongest”
“異世界帰りの勇者が現代最強！ ～異能バトル系美少女をビシバシ調教することに！？～” is only the volume 1 title; the series title is simply “異世界帰りの勇者が現代最強！”. Not sure why you’ve translated it into Korean as this is definitely a Japanese novel?
I have both of the volumes (I think mainly due to the Arifureta artist) — the second one was released in 2018 but I’ve no idea if it is actually finished. The manga is still ongoing.