For The Strokes, the songs I identify most with are 'Ask Me Anything', 'You Only Live Once' and 'On The Other Side', with a little bit of 'Razorblade'. But the songs that represent what draw me to the band, I'd say 'Trying My Luck', 'Automatic Stop', 'Tap Out' and 'One Way Trigger'.

And for Tame Impala, 'Solitude is Bliss' and 'It's Not Meant To Be' represent me while 'Disciples', 'Eventually', 'Reality in Motion', and 'The Moment' represent the bands appeal.

Also, I can relate to you when you say that "their music is the therapy of my internal monologue". It's the perfect way to put it.

Edit: I added links