I used to train actors at theater schools in Manhattan. Actors are in the business of being fully alive in the moment, and sharpening the five senses is one of the first things they work on in acting school. To help them do so, I'd use sensory isolation exercises to deliberately heighten the experience of each sense. Cool, right?
This helped the actors more fully experience the richness of their physical reality — even mundane moments suddenly attained a sumptuous beauty. But there was also an unexpected side benefit: Because the senses are a powerful conduit to memory, a moment in the present could become richly linked to moments from the past during these exercises.
Even if you don't end up going to acting school (though I'd recommend acting classes to absolutely everyone), you can still work on consciously returning to your senses. Technology brutally inhibits our ability to fully live in the moment, so try experimenting with periods of gadget-less time. Start with an hour at a time and go longer if you can. Notice how much more you notice when some of the distractions, fun as they may be, are gone.