Not every Tagore poem recites well. Some are meant for the eye, dense and philosophical, and they die a little when spoken. The ones that sing are the ones with rhythm you can feel in your chest.
The Gitanjali lyrics are the obvious starting point. Short lines, clear images, a musical pulse that almost recites itself. They are forgiving for beginners too. Even a shaky voice cannot fully ruin them, though a good voice can lift them into something else entirely.
Then there are the nature poems. Tagore describing rain, rivers, the monsoon sky. These work because the imagery does half the job. The reciter just has to stay out of the way and let the words arrive. Rushing them is the classic mistake. Let the images land.
His love poems are harder. They demand restraint. The moment you push the emotion, it turns theatrical. The best Tagore reciters sound almost conversational in the tender passages, like they are telling one person something true.
A practical tip from the tradition: pick poems with strong sound patterns first. Alliteration, repeated vowels, refrains. Your ear learns the music before your brain understands the meaning. Meaning catches up later. It always does.
And if you want to study how the masters handled him, the classic Tagore recitations are worth hunting down. Artist profiles with their signature pieces are collected on banglaabritti.com, a good place to start listening with intent.