Torras cases: Torras makes several cases with integrated kickstands, but they each have their own style of stand. They include the Lstand which has a retractable kickstand ring around the camera, the Pstand which has a flip-out kickstand on the bottom of the case, and the Ostand which has a retractable ring around the MagSafe ring.
Inbeage case (Update: Out of stock): Inbeage cases are made out of plant-based materials and are 100% biodegradable (over 3 years). They're not going to look and feel exactly like your typical silicone or hard plastic case and they are fairly basic. They offer decent drop protection and come in a variety of eye-catching designs. Better yet, they're affordable, costing around $19 and sometimes less (like now where there are some cases on sale 50% off) after you apply an instant coupon. Their one downside is they're not MagSafe-enabled (there's no built-in ring), but if you can live with that and are looking for an eco-friendly case, Inbeage is one of the best ones out there for the money.
Pitaka MagEZ Case 4 (Update: Out of stock): If you're looking for more serious protection from drops, this probably isn't the right case for you, particularly because it's rather expensive (between $60 and $70). If you're looking for a very slim, lightweight case, you should give it some consideration. It does come in a few different designs, some a little more eye-catching than others. All the cases are MagSafe-enabled using Pitaka's MagSafe SlimBoard technology.
Mujjo cases (Update: Out of stock): Mujjo has been making attractive vegetable-tanned leather cases for the iPhone for a while and its cases for the iPhone SE include its standard Leather Case with MagSafe, a Leather Wallet Case with MagSafe and its tougher Shield case with MagSafe.
SwitchEasy Roam M + Strap (Update: Out of stock): I haven't tried SwitchEasy cases for a few generations of iPhones but I got a chance to test a few of its new cases for the iPhone SE that come with a crossbody strap, including the Roam + Strap and Odyssey Ultra M + Strap. Both feature excellent drop protection, but the Odyssey Ultra has even more elevated corner protection. They're both available in a few color options.
Cyrill Leather Brick: (Update: Out of stock): Spigen's sister brand Cyrill makes a few different cases for the iPhone SE. I like the Leather Brick (it's "vegan" leather, not real leather), but all of Cyrill's cases are well-designed and decent for the money.