Without a doubt. The most intense and impactful postseason series are the most indelible on our memories.
I still recall details and can see big moments from many Sox' playoffs from this century. I barely remember the actual games from the World Series of '04 and '07.
One poster's Top 5 Sox Series this century:
1. '04 ALCS - greatest comeback/payback/choke of all-time.
2. '03 ALCS - worst ending ever, cumulative effect, after '78/'86/'99 etc.
3. '18 WS - hardly a blow-out; Sox won in 5 exciting games helped by three HUGE pinch-hits by Devers, Moreland and Nunez
4. '18 ALCS - highly entertaining offensive and defensive battle between two heavy-weights
5. '18 ALDS - start spreading the news: 16-1 W at the Stadium... but every other game was a total stress-fest
Obviously, '18 is the most recent fresh in my mind, but none of those were easy. Honorable mention: '13 ALCS/WS, '07 ALCS, '21 WC, and the underrated '03 ALDS