"I had bored" is ungrammatical. To communicate that you were bored in the simple past, you would write "I was bored."
"I had been bored" is in the past perfect progressive tense, and it indicates a continuous action that occurred in the past. For example, writing "I had been bored throughout the entire movie last night" means you were bored throughout the entire movie which you watched last night.
"I was bored during the movie" differs from "I had been bored during the movie" in that, although both sentences are referring to the past, the second one is more explicit in conveying constant boredom.