...Froodo, why would anyone want to? Don't you know that I-IV-V was handed down from the ancients many, many moons ago? It is the sacred chord progression, and, to be honest, I am simply appalled that anyone would even entertain the thought of breaking away from the most revered of chord progressions. Be that as it may....You could try I-II-I-II for a while...a short while. It gets kind of boring unless your soloing. I-VI (e.g., E-C#) has an intriguing quality about it.
Try this one on for size, it's a slightly more intricate variation of I-IV-V: IV-VI-IV-VI-I-V-III. This is essentially the progression for a blues-based song called "Towering Fool," by Gov't Mule: Asus2-C#m-Asus2-C#m-E-B-G#. My ear especially likes the transition from G# back to Asus2.
Now that I think about it...I wonder what the difference is between the above progression and this one: I-III-I-III-V-II-VII. The chords seem to be the same...one is in the key of E, the other in the key of A.
Hope this gets you out of your rut.
Regards, Neil