I want to apologize about the mistake I did yesterday.
I want to apologize for the mistake I did yesterday.

I am bored of this movie, please change the channel.
I am bored with this movie, please change the channel.

I think I am capable to do this work.
I think I am capable of doing this work.

I went outside in search for some water.
I went outside in search of some water.

I think I am interested about knowing more.
I think I am interested in knowing more.