Crash Bandicoot 4: It's About Time - All Flashback Tapes Locations
Below is a list of every Flashback Tape and where to find them. In order to collect the Flashback Tapes, you must reach them without dying beforehand. After you collect them, your death count doesn't matter.
Crash Compactor

The Flashback Tape is ahead of you right at the start of the level.
Hit the Road

After the section with the first fire box, you need to hop across some tires while avoiding the swinging obstacles. The Flashback Tape is just after this, and right before the next checkpoint.
Booty Calls

After the first checkpoint, you go inside a cave. There are two enemies pacing back and forth. Get rid of them and the Flashback Tape is on the next platform to the left.
Jetboard Jetty

After the first section on the jetboard, the Flashback tape is on the deck to the left.
Give It a Spin

The Flashback Tape is on the main path after you jump up the waterfall.