A Ritual Monster Deck is a deck that focuses on summoning Ritual Monsters. It allows powerful monsters to be summoned during a players first turn.
By adding "Blue Eyes White Dragon", "Dark Magician", and "Wattaildragon", you can summon level 6, 7, or 8 Ritual Monsters with "Advanced Ritual Art", since many Ritual Monsters of these levels have powerful or useful effects. Then, you can use "Birthright" to Special Summon the tributed Normal Monsters, or "Silver's Cry" if they were Dragon-Type. "Chaos Form" can also make use of "Blue-Eyes White Dragons" and "Dark Magicians" in your Graveyard to Ritual Summon any "Black Luster Soldier" or "Blue-Eyes Chaos MAX Dragon" by banishing said monsters from your Graveyard as the tribute, instead of summoning Normal Monsters back to the field.
If you Ritual Summon a level 8 or higher Ritual Monster by tributing another level 8 or higher monster on the field, you can follow up with a "A Deal with Dark Ruler" to Special Summon "Berserk Dragon". Berserk Dragon works better in a Ritual Monster Deck than most ordinary decks, because its high level makes it an asset rather than a Dead draw. This will not work if you have "Samsara" out on the field, however.
"Ascending Soul" can be better than "Samsara", as it gives Hand Advantage. If you Normal Summon or Flip Summon a Ritual Searcher such as "Manju of the Ten Thousand Hands", you can recycle it as many times when you use it as a tribute, allowing for a faster deck. "Saffira, Queen of Dragons" can also be used to return "Manju" to your hand during the turn she is Ritual Summoned, or during the turn a LIGHT monster was sent from either player's hand or deck to the Graveyard. However, with the release of "Pre-Preparation of Rites", the need for Ritual Searcher monsters other than "Manju of the Ten Thousand Hands" is not as great as it once was.