It seems to me that so few modern poets have any sense or beauty left in their poetry. Well, let me rephrase that. I haven’t really read anything very recent, but when I read poetry written after the 1950s, the meter and rhythm feel like they’ve been through a wood mulcher. (That’s why I prefer old poetry.)
My model of perfect meter in poetry would be G. K. Chesterton’s Lepanto. He used a wonderful hand in turning the stresses, so that the words showed you, by their sounds, what was going on… The last six lines are the perfect example of what I mean, but the whole poem is a master-work. I don’t know if modern poets give the same care to the meter (I hope they do).
But other poets had flowing verses, too. You might want to try some classical poets, until you find one whose style you like (and if you like you can comment about their poetry in the box at the bottom of the page).