Infinite Dendrogram is a series that reminds me of The Great Cleric, Sword Art Online, and a bit of Strike the Blood as far as catchphrase overuse goes.
Primarily an action-comedy, it also has periodic heavy drama sections and a negligible amount of romance. Despite the presence of various harem elements the character interactions almost never go beyond the friend level (barring the occasional embarrassed reaction). It’s honestly a bit odd in that respect, with only the princess showing any explicit attraction.
Aside from that what sticks out most early on is the author’s inability to weave multiple narratives into a single whole. Rather than providing alternate points of view as the story progressed, they instead completely segregated them. The result being a couple novels that just suddenly end halfway through with the remaining pages covering side stories which should have been integrated into the main part. Fortunately, following the end of the series’ first major arc (the conclusion of Franklin’s Game) it ceases to be an issue.
Only other potential problem is the complete lack of combat balance inherent to the setting; you have to go into this series with either securely suspended disbelief or not at all.