Spider plant (Chlorophytum comosum) flowers are white, and are closely attached to the stem. The flower stem may branch, but not much. The stem may be upright or arch. The longer it is the more it arches. Ultimately baby plants grow on it.
Chlorophytum comosum 'Variegatum' is the spider plant that is variegated on the outside of the leaf.
Chlorophytum laxum “Zebra” is a variety of spider plant with variegated edges, but stays a bit smaller than the average spider plant.
Leaves are often V shaped, with a fairly thick mid rib (especially near the base) and a slightly succulent or waxy texture.
Dianella tasmanica 'Variegata' and 'Silver Streak' have blue flowers that hang a bit from the upright stems. Then they turn into metalic blue fruit. However, These plants get larger than spider plants. Wider, flatter leaf, not V shaped, not succulent.
There are other species of Dianella, such as D. revoluta, that are also available with variegated leaves. Some are smaller, too. Look into all, watching for white flowers. (I think I see white flowers on your plant)
Another plant to look into is Phormium tenax 'Tiny Tiger'
Very similar leaf to the Dianellas- a flat strap with variegated edges. This is a very small Phormium, 12" (some growers say to 2'). Also sold as P. 'aurea-nana'