(Haru) (1996)

Leads communicate through online messages, don't meet in person until the end of the movies. Lies are told throughout both.
I personally liked Haru much more than Contact. It gives a better sense of feelings and relationship than Contact does (IMO).

Love Letter focuses on characters communicating with letters while Haru focuses on characters communicating through email.
Haru is set in city while Love Letter is set in the countryside.
Both movies are Japanese films and released at a similar time period.
Both films have that slow, but relaxing feeling to it.

Leads interact through messages (letters/emails) rather than meeting in person for the majority of these films. Female leads both navigate feelings for other in-person relationships while contacting male leads.