These names are from a list of 6000 names given to Finnish children (aged 1 to 10 years old). Some of the names may seem ordinary to Anglophones, but in Finland they're still considered rare and/or unique.
Rada-Sofiia
Raeanne
Rahma
Raika - derived from a Finnish word "raikaa" or "raikua", meaning "blare" and "resound"
RaisaRaita - means both "goat willow" and "stripe" in Finnish
Rajana
RamaRamina
RamonaRania
Rannveig
Ratima
Rea / Reea
Rebecca /
Rebecka /
Rebeka /
Rebekah /
RebekkaReeda
Reeta-Leena
Reetamari
Regatha-Sandra
Reichel-Rebecca
Reihaneh
Reija-Elina
ReinaRenata /
RenateRenee /
RenéeReneya
Renja
Reta
Reti
Ria / Riia
Ria-Alisa
Ria-Maria
Riana / Rianna
Rianne
Rienna
RihannaRiialeena
Riialiina
Riia-Liisa
Riia-Maria
Riia-Roosa
Riie
Riija
Riika /
RikaRiikka-Miina
Riinu
Riitta-Liisa
Riitu
RillaRimRinaRina-Maija
Ringa
Ringa-Ilona
Rinja
Rinna
Ripsa
RitaRivkaRo
RobynRodinaRojava
Rojda
RoksanaRominaRonessa
Ronia / Ronnjá / Ronya
Ronja-Karoliina
Roona
Roosa-Katriina
Roosa-Maaria
Roosamari
Roosa-Noora
Roosi
Rosa-Ella
RosaliaRosalinRosalinaRosalinda
Rosa-Máren
Rosamaria / Rosa-Maria
Rosanna /
RosanneRosa-Sofia
Rosa-Viola
RoseRosi
RosinaRositaRosmariini - means "rosemary" in Finnish
Rovî
RunaRunchida
Ruska - means "autumn colors" and "autumn foliage" in Finnish
Rut /
Ruth /
Ruut / Ruuth
Ruth-Benedicta
Ruusa
Ruusu - means "rose" in Finnish
Ruusumarja - means "rose hip" in Finnish
Ruusu-Medina
Ruut-Leea