Tárrega's Study in E minor - Ukulele tab + mp3 recording
Among Tárrega's compositions are some fabulous, although minor, works featured on the classical guitar curriculum that translate well to the ukulele. That's the case of Study in E minor (transposed to A minor on my ukulele arrangement).
This study progresses over a repeated arpeggio pattern on the top three strings and thus is perfect to practice our a-m-i strokes (or m-i-p if you'd rather left your ring finger out). I suggest to learn the piece on the beat and with plain dynamics –just accentuate the notes on the first string. Once mastered, aim for expression by freely using rubato and dynamic variations.
I've annotated the score with plenty of left hand fingerings. Follow them and you'll be able to play the full piece very soon.