^Season 3 was a transitional season for the series; Rick Berman was gaining more and more control but Gene still guided the stories and had say in the production(such as giving his approval for the new uniforms), Michael Piller had become the head writer but there were several veterans from the first two seasons on staff(Biemler and Manning, Melinda Snodgrass), and Wesley was still a regular character. Season 3 is the last season where a handful of the episodes end on the bridge, as The Enterprise warps onto the next mission. I always missed that in later shows.
I loved that aspect of seasons 1-3, that every mission was just "today's mission" and once it was done we move onto the next one

Good point about Wesley, too. Like him or loathe him (I like him), he's gone very soon into S4 and his absence from week to week draws a clear line in the sand between the feel of 1-3, and the feel of the following seasons.