A univibe is pretty much a one-sound pedal. But what a sound!
I, too, have a Mojovibe, but have owned a Danelectro Chicken Salad (incredible value, and my 1st recommendation if you want a feel for what a univibe is all about without breaking the bank), a Roger Mayer Voodoo Vibe (too large, complex, expensive, and not as good as the Mojovibe), Voodoo Lab Microvibe (doesn't go fast enough for the warbly effects but great otherwise) and Dunlop Rotovibe (pants).
Phasers and Leslie-simulations are a different matter (and I've owned a host of both). They can sound similar to a univibe, but I suggest you get a Chicken Salad (or better: their new Cool Cat Vibe) and take it from there. It may be all you need!