Mushikaburi-hime

Similar plot with a prince falling in love with someone with a lower standing.  

— Both protagonists love reading and value books, — They are very intelligent — Has fantasy and both are historical 

>both stories happens in high society (like nobility, etc.) >both stories take place in past in quite similar times (castles, beautiful dresses, etiquette, etc.) >main characters are very quiet and calm persons, who will rather give up on relationship than ruin other persons life >the whole romance plot is very slow 

- MC has few feelings or don't express them much. They have a very similar energy in my opinion, if you like one you'll likely like the other. - MC has to engage with someone who has an high rank, which make one part of the plot similar. 

Both anime talk about a female lead that underestimates herself and tries to live a quiet life. Then her hidden abilities are noticed by the male lead, who sees the true nature of his future partner. We observe the growth of the protagonists, slowly getting aware of their potential and working on their social skills. 

Both historical nobility thingy. Main couples have different personalities, but female leads give opinions that help male leads. Both male leads are the ones who first fall in love. Both animes are sweet! 

Smart noble girl is engaged to the prince, that is the main similarity between this 2 series. While Gekai Elise is isekai, Mushikaburi-hime is a royal romance with a bit of drama. Also both ladies help with developing the medical field, Elise is a more on hands approach while Eliana gives advice based on books. They are both worth a watch and even thou both are romances, they are different in they're own way.  

Both have similar feel and setting, the only difference is Mushikaburi-Hime is fluffier and protected by guys and Loop 7's heroine fights for herself