Avery Carrington is a character in GTA Liberty City Stories. He is often involved in various criminal activities and business deals within the game's Liberty City setting.
I'm not sure if there are specific missions directly named 'cop bribes liberty city stories'. However, given the nature of the game which often involves crime and corruption, it's possible that there could be missions where the concept of cops taking bribes is part of the mission objective or the background story. For example, you might have to bribe a cop to get information or avoid getting arrested during a mission.
Since we only have the statement 'donald love liberty city stories', it's more likely that Donald is an individual with an affinity for the game rather than a character in it. In most games, when a character is mentioned, there are more details about their place in the game's world, but here we lack such details. So, probably not.