Suigintou's laugh in this episode seems to be pretty much Tanaka Rie's laugh.
And, judging with my ears, you hear that same Suigintou/Tanaka Rie laugh when Female Miqo'te Voice Type 2 and Female Elezen Voice Type 3 playable characters laugh in Square Enix's Final Fantasy XIV: A Realm Reborn MMORPG.
Tanaka Rie officially voices two major non-playable characters in that upcoming major game release from Square Enix, Kan-E-Senna and Garuda. But I am virtually certain now she also provides
at least three voices for playable characters in that game as well, two female Miqo'te catgirl voice types and one female Elezen elf voice type.
(Tanaka Rie
disclosed on her blog nearly three years ago that she voices Female Miqo'te Voice 2 in the original Final Fantasy XIV game - which sounds exactly like Female Miqo'te Voice Type 1 in Final Fantasy XIV: A Realm Reborn.)
So if one cannot get enough of Suigintou's laugh in Rozen Maiden Zurückspulen, play Final Fantasy XIV: A Realm Reborn, and select Female Miqo'te Voice Type 2 and/or Female Elezen Voice Type 3.
It is not unusual for Tanaka Rie to do more than one voice in a game. For instance, so far she has done three female Hunter voices in the Monster Hunter Frontier G MMORPG:
Type 17, Type 21, and Type 25.