Vogue 1180 by Tom and Linda Platt is a good simple bias dress project.
This is my first LBD, it's a little shorter than I would have liked, but I really like it with the scarf. Since the dress is cut on the bias this was one project that was cut on the floor. It's a mid weight linen, lined with black acetate, it has lingerie straps, and the neckline & armhole was understitched with a pick stitch.
If you wear it without the lingerie stays it tends to ride forward, and creates a pleat width wise in the small of the back and cups the bottom.
With the lingerie stays connected...
I love the way that the neckline and armhole cover everything beneath, and it is a flattering neckline. It also hangs well, but for the next variation, I will be adding some length and possibly removing some width from the back or reshaping the side seams a bit. The other thing I liked is that the only notions required were two snaps. It has no interfacing, just fabric, lining, thread and two snaps.
It's a good basic bias project, you might want to read this Threads Article for treating the side seams if you want to learn more about bias.