Here you'll find details on other Asian polish brands that aren't as established and specialized as Elianto, TFS, and Skinfood. This list will be updated as I encounter them.
Bobbie - PHP20.00, found in most grocery stores and drugstores. Comes only in frosted finishes. Limited color spectrum that neither focuses on funky shades nor neutrals.
Caronia - PHP25.00, found in grocery stores, drugstores, department stores - everywhere. This is a very common, relatively old Philippine brand. (It was already around when my mother was in her teens in the late 70s!) Comes in frosted and creme finishes, but the color spectrum tends to focus on pinks, reds, and neutrals.
Colortrends - PHP23.00, found in some grocery stores and drugstores. Comes in frosted and creme finishes. Extent of color spectrum unknown, because I've been to stores that stock certain colors, and other stores that stock other certain colors.
Ever Bilena - PHP38.00, found in drugstores. Comes in frosted and creme finishes. Color spectrum focuses on pinks, reds, and neutrals, with the occasional pastels thrown in.
Careline - PHP10.00 for the small bottle, PHP32.00 for the big bottle, found in grocery stores, drugstores, department stores. This brand is owned by the same company that makes Ever Bilena polishes. Focuses mostly on creme reds, pinks, and neutrals, with some funky purples thrown in.
Caress - PHP12.00, found in some drugstores. This brand has a small color selection composed of some work-safe colors and some other funky neon colors. Finishes are mostly creme.
Chic - PHP30.95, found in some drugstores. This brand seems to offer only neon colors. Finishes all appear to be jelly.