Le Droit Humain is active in Finland. Their website seems to list 14 lodges. (The small logos on the bottom of each page.)
Ruusu-Risti(Rosy Cross) was founded in 1920 by Pekka Arvast as a split-off of the Theosophical Society. Later a split-off of Le Droit Humain was incorporated to form “the Masonic core” of the organisation. They seem to have three lodges working with a revised Dharma ritual in which elements of the national epic Kalevala have been written.
Grand Orient de Finlande was founded in 2017 with the help of the Grand Orient de Estonia and is a mixed gender organisation.
Update June 2022. The website is gone. The organisation could be dismantled.
There appears to be an organisation working in Finland with the name “Svenkska Kvinno-Frimurarorden“, or ‘Swedish women’s Freemasons order. They are listed as having been active since 1946, having around 45 members and work with the “Swedish Rite”. I have found no website, nor found presence in Sweden.
A member of the Finish Le Droit Humain wrote me:
Föreningen Ingri r.f. is a Swedish-speaking, for women only (not mixed) Masonic organization. The founders of the organization were originally members of the LDH (Phoenix Lodge no. 742). The rituals of Föreningen Ingri are based on the rituals of the English and Scottish grand lodges (LDH’s Dharma workings and higher degrees). The association was registered on November 12, 1947.
Maria Ordenen. This seems to be a Freemasonry-like (but not Masonic) organisation such as the Weavers are one in the Netherlands. Founded in Norway in 1916, working with seven grades with a more feminine symbolism and a distinctly Christian tone (as Freemasonry in Scandinavia has). There are 41 lodges in Norway, 15 in Sweden, 6 in Denmark, 1 in Iceland, 2 in Finland and 2 in Germany.