Ernodea littoralis or Beach Creeper
Ernodea littoralis is a native but rare ground cover in Curaçao.
Hymenocallis latifolia or Spider Lily of Lelie
Hymenocallis latifolia of Spider Lily of Lelie is native to Florida en a few Caribbean islands. It is a flowerbulb.
Ipomoea pes-caprae or Beach Morning Glory
Ipomoea pes-caprae aka Beach Morning Glory is a creeping plant that grows along the coast.