My parish has a short prayer service on Holy Saturday morning. It is immediately followed by the Polish tradition of blessing the Easter foods. My son and I go every year (we are Polish-American). Getting our baskets of food blessed has always been one of my favorite Easter customs, ever since I was a little child.
Liturgical trivia: the monastic antiphonary states that “according to an ancient tradition”, the opening verse (“O God, come to my assistance…”) and the hymn are omitted at the Divine Office on Holy Saturday; and the responsory after the reading is replaced by the gradual “Christus factus est”. The Office starts immediately with the first antiphon and psalm.
We will have a Tenebrae service. We chant Lauds and our rector extinguishes the candles placed on the altar, one by one, plunging the Cathedral into darkness, leaving one under the altar, and that one finally brought back out to light, signifying Christ’s resurrection. It’s quite beautiful.
Tenebrae means “shadows” in Latin. This is the service done normally with Matins and Lauds on Holy Thursday, Friday, and Saturday.
When I went through RCIA, the candidates and catechumens had a rite on Holy Saturday Morning. The catechumens were anointed with the oil of salvation to prepare them for baptism. Everyone was presented with the creed or the our father as well, I think.