Carex divulsa is a clump-forming, grass-like sedge with evergreen foliage that reaches 0.5–1 metres. It usually takes 2–5 years to attain its mature height and spread. Flowering occurs from May to July. It grows in full sun to full shade and tolerates a broad range of soils and exposures.

Grey sedge Carex divulsa is an evergreen, clump-forming sedge for full sun to shade and varied soils, flowering May to July.

https://en.wikipedia.org/wiki/Carex_divulsa

Carex is a vast genus of over 2,000 species of grass-like plants in the family Cyperaceae, commonly known as sedges. Other members of the family Cyperaceae are also called sedges; however, those of genus Carex may be called true sedges.

Carex divulsa

Grey sedge | Carex divulsa

Carex fraseri is a sedge of the genus Carex, noted for its preference for shady, moist sites. It performs best in partial shade to full shade on loamy, well-drained soils with an acidic to neutral pH. In the UK it suits woodland or naturalised shade gardens where moisture is retained. Flowering occurs from May to July.

Fraser's sedge Carex fraseri suits moist, loamy, acidic to neutral soils in partial shade and flowers from May to July.

https://en.wikipedia.org/wiki/Carex_fraseriana

Carex fraseri

Fraser's sedge | Carex fraseri

Carex morrowii 'Variegata' is a perennial sedge valued for its variegated leaves, reaching about 0.6 m. It tolerates full sun to full shade and prefers moist but well-drained sandy, loamy or clay soils. Rated H7 (fully hardy) and suitable in USDA zones 5–9, it originates from Japan. Use it as ground cover, in borders or in shade gardens where variegation lifts darker planting pockets.

Variegated Japanese Sedge (Carex morrowii 'Variegata') is a fully hardy perennial to 0.6 m, suited to full sun or full shade in moist, well-drained soils.

https://en.wikipedia.org/wiki/Carex_morrowii

Carex morrowii 'Variegata'

Variegated Japanese Sedge | Carex morrowii 'Variegata'

Carex riparia 'Variegata' is a tall sedge cultivar prized for its variegated foliage. It typically grows to around 1.5 m and favours full sun in moist or wet soils. Flowering occurs in the UK from May to July. Use it at pond edges and in water gardens where its foliage will be visible.

Variegated greater pond sedge (Carex riparia 'Variegata') is a tall, variegated sedge for moist soil and pond margins, flowering May to July.

https://en.wikipedia.org/wiki/Carex_riparia

Carex riparia 'Variegata'

Variegated greater pond sedge | Carex riparia 'Variegata'

Carex stricta 'Bowles' Golden' is a grass in the sedge family (Cyperaceae) suited to persistently moist ground. It performs in full sun to part shade and prefers moist, well-drained soils. Flowering occurs from May to July. Recommended uses include borders, naturalised areas and wetland gardens.

Carex stricta 'Bowles' Golden' is a sedge for moist, well-drained sites and suits wetland gardens, borders and naturalised areas, flowering May to July.

https://en.wikipedia.org/wiki/Carex_stricta

Carex stricta 'Bowles' Golden'

Tussock Sedge | Carex stricta 'Bowles' Golden'

Carex trifida is a perennial sedge (family Cyperaceae) notable for its grass-like habit and tolerance of coastal exposure. It is grown as an ornamental grass or ground cover where moist, well‑drained sandy or loamy soils are available. It suits acidic to neutral soils and will take full sun or partial shade. Flowering occurs from May to July.

Mutton-bird sedge Carex trifida is a perennial coastal sedge for moist, well-drained sandy or loamy soils, flowering May to July.

https://en.wikipedia.org/wiki/Carex_trifida

Carex trifida

Mutton-bird sedge | Carex trifida

Cyperus alternifolius is a perennial sedge in the family Cyperaceae that prefers consistently wet or moist soil. Native to Africa and the Arabian Peninsula, it is often used at pond edges, in water gardens and as an indoor plant. It grows in full sun to partial shade and flowers from June to September.

Umbrella plant (Cyperus alternifolius) suits pond edges and indoor containers, preferring wet to moist soil and flowering June to September.

https://en.wikipedia.org/wiki/Cyperus_alternifolius

Cyperus is a large genus of about 700 species of sedges, distributed throughout all continents in both tropical and temperate regions.

Cyperus alternifolius

Umbrella plant | Cyperus alternifolius

Cyperus longus is a perennial sedge reaching about 1.2 m, noted for a sweet, aromatic scent. It produces upright stems suited to damp ground and margins of shallow water. Flowering occurs from June to September. Plant in full sun in sandy, loamy or clay soils that remain moist to wet.

Sweet galingale (Cyperus longus) is a perennial sedge for pond margins and wet gardens that flowers June to September and prefers full sun.