The playground 'gives every appearance of' being a safe place for children [=the playground appears to be a safe place for children], but a tragic accident occurred there recently.
He has announced that this will be his final/last 'appearance' with the band. [=the last time that he will perform in public with the band]
I wasn't expecting him to come and was surprised by his sudden 'appearance'. [=I was surprised when he suddenly appeared/arrived]
(..) that I'm qualified... and desire to serve on the USS Enterprise, I'm assigned to the Farragut? It was an attempt to avoid the appearance of favoritism. No. I'm assigned to the Enterprise. - Yes, I believe you are. - Thank you. - What are you doing? (..)2009 Star Trek