What Escaflowne video games are there?
Exactly one, and Japan kept it: a 1997 PlayStation adventure whose limited edition ships with Hitomi's tarot deck.
The Vision of Escaflowne for the PlayStation was released by Bandai in Japan on September 25, 1997, developed by BEC. It is an action-adventure retelling with an altered plot line and additional characters, including animated sequences made for the game; game sources describe set pieces, such as a battle in Tokyo, that the series never staged. It was never released outside Japan and has no English localization.
For a collector the game is the most tactile object in the whole franchise. The limited edition (SLPS-01014) came in a box set with a small collector's book and a deck of 26 tarot cards, a perfect piece of 1997 logic for a series whose heroine reads the future. The standard edition is SLPS-01015.
THE RELEASE DATA
PlayStation · NTSC-JStandard edition
SLPS-01015 · JAN 4902425588957 · September 25, 1997 · Bandai.
Limited edition
SLPS-01014 · JAN 4902425588940 · Same day. Box set: game, collector's book, and 26 tarot cards. Reference copies on the import market are commonly documented complete around the $40s, loose less; the Library documents editions, and the market moves, so treat any single price as a snapshot.
The afterlife
Sunrise has not forgotten it: the Japanese Blu-ray box's bonus materials include a collection of the PlayStation game's original movies. No complete fan translation exists.