I know EXACTLY what these two programs are! I've seen them myself on a local TV station several times years ago. It was a locally affiliated public access channel that played mostly religious programming, and during the week, these programs would be played in the late afternoon/early evening around 5:00pm.One program ripped off the plot from that Arthur episode where Arthur got chicken pox and then DW pretends to get chicken pox to get attention. One puppet had put blue dots on her face with a marker (um, isn't chicken pox red?) then she (surprise!) got chicken pox anyway and "learned a lesson about lying". "B-but the marker won't wash off and I have TWICE as many spots now!" complained the puppet. The human host basically told her "well, that's what you get for doing that".
Now, here's the weirdest show they played of the bunch, which featured the blue and orange puppets, who are called Ralph and Elmer.
The half hour show had NO plot whatsoever. I've seen strung-together blocks of random Pinwheel cartoons that made more of a coherent plot than this. Mostly, it was just unfunny parodies of Christmas songs with random words thrown in. The blue puppet with the horizontal head, (Elmer) was performed by someone who just kept flapping the head and jaw around randomly and screeching like Ebenezer T. Squint after a Starbucks binge:
"On the twelfth day of Christmas, polar bears gave to me: Twelve polar bears! Eleven polar bears! Eight polar bears! Six polar bears! Ten polar bears! FIVE POLAR BEARS! Nine polar bears! Three polar bears! Two polar bears and ONE polar bear in a polar bear tree!!! HA HAAAA!!!!" A cheap greenscreened shot of polar bear footage appeared behind him. "I love polar bears because they're so...COOL! OK, let's sing again! EIGHT polar bears! SIX polar bears! TEN polar bears!..."
Now, if you think that was er, interesting, the orange puppet (Ralph) starred in a "commercial" four times during the show. It was a "commercial" that was trying to get the creators' puppet show off the ground by advertising "free" coloring sheets of the characters. The puppet popped in and out of frame against a black background. "Call now! You can get coloring sheets featuring ME and all my friends! IT'S FREE! Just call us! IT'S FREE!!!" The puppet said "IT'S FREE!" at least six times during the ad, which, like I said was repeated four times (probably to pad out the airtime they had). The puppet sounded like Mr. Poodlepants being performed by the squeaky-voiced teenager on the Simpsons.
Man, I wish I had a recording of this so I could post it and show all of you. If I find it, I promise I'll post it. It has to be seen to be believed.
I believe the first program you mentioned was this one called "Sonshine Day". Yes, that's how it was spelled, with "son" presumably referring to Christ, the "Son" of God. I originally thought the title was inspired by the classic Brady Kids song, "Sunshine Day". This show did have rather crude-looking puppets that looked either like ones purchased in a toy store or else just homemade (they had those googly eyes that you can find at any arts and crafts stores), as well as a (human) blonde-haired female host. The puppets all performed in front of what looked like a massive-sized doll house, and there was also a talking squirrel puppet that lived in a tree. I seem to remember an episode where this girl puppet with yellow yarn hair lied to either her brother, or else her friend, about stealing his jawbreaker candies. It had a lesson about lying and stealing. There were also live children on this show, as well.
Now, you've mentioned some strange show with these orange and blue puppets respectively named "Ralph" and "Elmer". You said this show needs to be seen in order for others to believe in it. Well, it just so happens that I have seen that EXACT program myself on the same local public access channel several times.
That particular show is called "K.I.C.K.S. Club". I'm not so sure what "K.I.C.K.S." is an acronym for, but I think the show's whole purpose was to encourage children to register for a membership of some Christian-themed organization. That's why there were these segments that appeared several times throughout the program involving Ralph (who I thought was supposed to be an orange Guy Smiley based off the shape of his head and his loud voice) popping up in the top right corner of a black screen displaying contact information for joining "K.I.C.K.S. Club" and purchasing some coloring pictures of the show's puppet characters. He would always open the commercial saying something like, "HEY! THIS IS RRR-ALPH! JOIN THE CLUB TODAY! KICKS CLUB!".
You are absolutely right about the program having no plot at all. From what few episodes I had seen, they would have footage of Elmer (the blue puppet whose head is shaped like Arnold from "Hey Arnold!") engaging in various activities without saying a word. One example I remember is of Elmer at a picnic table in an outdoor setting stacking up a pile of hamburgers (that's someone I wouldn't invite to a barbecue if THAT'S what he's going to do with his food). Another one was of Elmer pushing a wheelbarrow through a yard with the camera following him as some song played in the background with a voice keep singing "Who's that there?", and then we cut to Ralph shouting, "HEY ELMER! IT'S MEEEEE!". Weird and creepy. Wouldn't you agree? There was also a live woman on the show who would always have a small white terrier present. She would often be outdoors on location talking with Elmer. The dog, who I believe was named Zoe, would appear in some program identifications during each show, in a footage with the words "K.I.C.K.S." and "CLUB" bouncing on the screen to some upbeat sounding music. I don't seem to recall who the show's puppeteers were. I remember seeing the end credits, but I don't think they credited many names. A footage of Elmer from each episode would appear in the top left corner as that same upbeat "theme music" would play. Nevertheless, this was one of the STRANGEST programs I had ever seen on TV!