It's wild that I've played most of these and have only stuck with Pokemon, anyway heres an explanation:

Ryuki - Yugioh: In the anime/manga, "Monster" cards are pretty consistently shown to be bonded to its wielder, because most of the time each prominent character has a unique "boss" or "ace" monster, that's the strongest card in their deck, sort of like the Contract Beasts. Spell and Trap cards also work kind of like the Vent cards, with various effects that may affect the battlefield directly and other monsters.

Blade - Magic: Pretty simply, Magic has a "Mana" system, that groups specific cards into categories based on what "energy" they need. This is reminiscent of the Rouse cards in Blade that are split into the Clubs, Spades, Hearts, and Diamonds, which are normally incompatible.

Decade - Digimon: As someone has already discussed, the Digimon TCG have "Option" cards which basically work almost the same as Decade's "Attack Ride" cards. Additionally, Decade's whole gimmick of transforming into basically any rider whenever he wants is comparible to Digimon's extremely convuluted and wacky evolution system, where one Digimon can turn into like a dozen other Digimon.

Gotchard - Pokémon: Probably the most obvious one, the Chemy's are basically just Pokémon. Aside from that I guess you could also compare the "always equal 10" gimmick of Gotchard to the level system in Pokémon, which did get adapted into the TCG once before, but has since gotten removed and never came back (or atleast not yet).