First thing that comes to mind is "АБВГДейка". You can google it, some episodes are available online.
АБВГДейка — Википедия

Old АБВГдейка:
YouTube - Абвгдейка

I checked TV lists, and it seems that it still exists and is aired on Saturdays on TV Center Channel.
TV Center online: http://87.236.40.48:8000/tv-center.flv
(you can open this stream with VLC media player)