The following are some plants that are recommended for Rock and Trough gardens, and Living or Green roof gardens.

Sedum is the large stonecrop genus of the Crassulaceae, representing about 400 species of leaf succulents, found throughout the northern hemisphere, varying from annual and creeping herbs to shrubs. The plants have water-storing leaves. The flowers usually have five petals, seldom four or six. There are typically twice as many stamens as petals.

 A partial list of some Sedum is listed below.

1.Sedum acre:  white flowers may-june

 

2.Sedum acre Aureum yellow flowers may-june

 

3.Sedum acre Oktoberfest  white flowers

 

4.Sedum album red ice..red leaves all year round

 

5.album chloroticum pale green small white flowers grows in crevices.

 

6.album 'Faroe'red /white flowers in july creeps over edges

 

7.Sedum album Sedum album, this has white flowers every June, and can be counted on to spread well even in shallow media.

 

 

8.Sedum cauticola  4 inch bluish grey/purple stems purple pink flowers in fall

 

9.cyaneum ‘Rose Carpet' pink and green leaves low tight mats 3 inches high.

 

10.ewersii tight mats tiny green grey leaves needs to be planted in spring

 

11.floriferum 'Weihenstephaner Gold' yellow flowers may/june very nice

 

12.kamschaticum sedum yellow flowers early june 6-10 inches tall

 

13.kamschaticum sichotense tall green foliage up to 10 inches yellow flowers turns scarlet in the fall

 

14.Sedum middendorfianum striatum  low growing green red leaves

 

15.Sedum oreganum native glossy fat leaves 4 inches native

 

16.Sedum pachyclados forms low mats grey blue leaves white flowers may*

 

17.Sedum populifolium  leaves like a poplar tree woody stems 1 foot high shrub.

 

18.Sedum pulchellum native eastern us 10 inches tall pink white flowers may /june dense forming clumps.*

 

19.reflexum 'Blue Spruce' up to 8 inches vertical--does not spread

 

20.reflexum 'Angelina' pale green foliage turns orange gold and red in fall.

 

21.selskianum 'Spirit'  green leaves yellow flower  4 inches tall star shaped flowers.

 

22.selskianum variegatum  also yellow flowers variegated  leaves.

 

23.sexangulare- yellow flowered low growing

 

24.spurium 'Summer Glory' fuscia flowers early in july-clump like spreads but not invasive. Also white form white flowers early july

 

25.spurium' Voodoo' red leaves all year round red flowers in july.

 

26.spurium coccineum red/green foliage crimson flowers

 

27.spurium 'Dragon's blood' bronze green leaves pink flowers late summer/early fall bloom time.

 

28.spurium 'John Creech' low mats of green leaves with tiny pink flowers early july

 

29.spurium 'Fuldaglut' green with purplish flowers needs 2 inches of medium.

 

30.spurium 'tricolor ' pink/white/green variegated leaves no flowers

 

31.tatarowinii dense white flowers aug/set clumps rather than mats very unusual.

 

32.telephium 'Emperor's Wave' clump froming large green leaves no flower

 

 

Non-Sedum:

33.Allium schoenoprasum Chives s grows in shallow medium,full sun purple flower may /june

 

34.Delosperma congestum Ice Plant  yellow flowers

 

35.Delosperma cooperi Ice Plant  fuschia daisy like flowers all summer long

 

36.Delosperma nubigenum Ice Plant..green foliage short with yellow flowers

 

37.Orostachys malachophyllum pink flowers spikes early fall.

 

38..Purslane Fameflower  4-12 inches with bright ½ inch pink flowers june-sept native

 

39.Sempervivum sp. Hens and chicks 

Always make sure the plants you are planting are not on the invasive plant list. Invasive plants tend to crowd out native plants which is not a good thing. 

I know that 'ice plant' is considered invasive in Cal as it crowds out native plants by making dense colonies along the coastal bluffs.  So I looked up the names on the web.  What you listed seems to be okay, and I don't know if the invasive plant is a bad guy for our climate anyway, but...you probably knew all this anyway.   carpobrotus is the invasive in CA and maybe AZ delosperma is the one you listed... Barb Reitz,Cornell Gardener