Talking about Golden Sedum (Sedum nussbaumerianum), Baja_Costero wrote:

Very common soft-leafed succulent from Veracruz, Mexico. Leaves are alternate and yellowish green to orange, with a slight keel. Stems are sprawling. Flowers are white, with a slight fragrance. Various cultivars with unusual colors or variegation have been named.

This plant is well behaved and widespread in cultivation, though a bit of a messy grower due its sprawling habit. With the color forms, the most dramatic hues will be observed in strong light.

This species has at various times (including the present) been considered a synonym of Sedum adolphi, which was described about 12 years earlier. They are currently considered to be the same plant. It's not entirely clear to me why the CoL would give the younger name precedence, except perhaps due to issues with the original naming of adolphi.

More info here:

The thread "Invalid name nussbaumerianum" in Plant Database forum

Talking about Jelly Bean (Sedum x rubrotinctum), Baja_Costero wrote:

Fat leafed, sprawling succulent with really striking red color in strong light. The common name is apt. Bright yellow, wide open flowers appear in terminal clusters. Common and well behaved in cultivation. Provide strong light for best color and form.

Formerly described as a species, this plant is known only from cultivation and is apparently a garden hybrid of Sedum stahlii and some other Sedum, maybe pachyphyllum.

It appears in the database despite a general prohibition on garden hybrids in the form of Genus x species, presumably because at one point (over 4 decades ago) it was considered an actual species. More info here:

https://www.crassulaceae.ch/de...

Talking about Lesser Mexican Stonecrop (Sedum confusum), Aeonium2003 wrote:

Yellow flowers appear in the spring to summer. Leaves are green, but will turn orange in full sun.

This Sedum is often confused with Sedum kimnachii. According to Sedumzz, "Kimnachi tends to stay smaller than confusum and leaves tend to stay more compacted than confusum."

Talking about Yosemite Stonecrop (Sedum spathulifolium subsp. yosemitense), sedumzz wrote:

Sedum spathulifolium subsp. yosemitense

As the name suggests, this subsp. comes from Yosemite. The leaves on this rosette are dark green and glossy, they emerge light lime green and fade to red/orange leaves. The stolons/stems are bright red.

Talking about Sedum (Sedum oreganum), Aeonium2003 wrote:

An alpine plant, native to California and Oregon. It grows in the coastal mountains, often next to Dudleyas. A good spreading ground cover, with yellow flowers in the spring. Great for rock gardens and container gardens.