Although they are working on the road to Kolob Reservoir this year, it starts very close to the Zion River Resort and will take you (assuming you have a toad) up to Lava Point in ZNP. Potentially a good spot for starting some hikes.
Also within the park Angel's Landing gets the most attention and is a worthwhile hike. But I was pleasantly surprised by Observation Point the time I went with friends. I didn't know what hike we were doing that day so was tickled to be looking *down* onto Angel's Landing from the top.