the songs I have listened to(present perfect)
the songs I listened to(past)
the songs I was listening to(past continue)
the songs I listen to(present)
the songs I had listened to
Present Perfect: The Present Perfect is used to indicate a link between the present and the past. The time of the action is before now but not specified.
You could say it's like saying The songs I have listened to until now.
Past: Indicates that the time related to the action being talked about is over, it's in the past. In this case, the action is listen. So your sentence could be "These were the songs I listened to in the 80s."
Past Continuous: Indicates a time in the past but until a specific point. It can indicate an unfinished action. For example, "These were the songs I was listening to, when suddenly the war broke out." Another example "They were waiting for the bus when the accident happened."
Present: Indicates the action is still active in the current time. For example, "I listen to ColdPlay a lot."
Past Perfect: Indicates a time earlier than before now. It is used to make it clear that one event happened before another in the past. It does not matter which event is mentioned first - the tense makes it clear which one happened first. For example, "John had gone out when I arrived in the office."
You can learn more about tenses here:
Downloadable worksheets to work with tenses: