I’m more familiar with the cultural event of the Saint Joseph table, but there are many prayerful ones that do not include delicious Italian food:
222. St. Joseph plays a prominent part in popular devotion: in numerous popular traditions; the custom of reserving Wednesdays for devotion to St. Joseph, popular at least since the end of the seventeenth century, has generated several pious exercises including that of the Seven Wednesdays; in the pious aspirations made by the faithful (Cf. EI, Piae invocationes, p. 83); in prayers such as that of Pope Leo XIII, A te, Beate Ioseph, which is daily recited by the faithful (Cf. EI, Aliae concessiones, 19, p. 66); in the Litany of St Joseph, approved by St. Pope Pius X(Cf. EI, Aliae concessiones, 22, p. 68); and in the recitation of the chaplet of St Joseph, recollecting the Seven agonies and seven joys of St. Joseph.
This page has these, plus a few more. The Directory on Popular Piety and the Liturgy is online at the Vatican site.