Fiber Twig 2 (the sequel to Fiber Twig) is really great in my opinion. It is put out by a somewhat less known company -- Puzzle Lab, but it is interesting to me.
The goal of the game is to complete the twigs in the level. The level starts at the bottom, and below, twigs scroll on the conveyor until they stop at its left side. You can use any twigs on the conveyor to complete the twigs in the level, and once the row or rows at the bottom are connected up, the level scrolls up to reveal more twigs to complete.
One great part of the game is instead of just trying to complete the level as fast as possible, you can use the twigs to create beautiful patterns. As you upgrade your helpmate's skills, you have more options, from filling in an empty space with the appropriate twig, to more intricate and further spanning twigs.
I find the graphics of the game good and the sound given is nice as well. The only drawback is there are just 20 levels, but usually levels take a fair amount of time to complete, and there is always the "save game" option if you want to come back later.
If anyone wants to test out the game, you can play for an hour in the demo version here or purchase it online on the page here.