There are many different types of guppy fish, each with its own unique combination of colors, patterns, and tail shapes. Some popular types include:

1. Wild-type guppy: The natural form of the fish, typically greenish-brown with dark spots and a simple tail fin.

2. Veil tail guppy: Has a long and flowing tail fin.

3. Delta guppy: Has a triangular tail fin.

4. Lyretail guppy: Has a double tail fin.

5. Spade tail guppy: Has a square-shaped tail fin.

6. Half-moon guppy: Has a round tail fin that forms a half-moon shape.

7. Metallic guppy: Has a shiny metallic sheen to its scales.

8. Snake-skin guppy: Has a unique pattern of color and texture on the body, which gives it the appearance of a snake skin.

9. Dragon guppy: Has a unique tail shape and color that gives it the appearance of a dragon.

10. Tiger guppy: Has a tiger-like pattern on the body.

11. Leopard guppy: Has a leopard-like pattern on the body.

12. Dalmatian guppy: Has a dalmatian-like pattern on the body.

13. Balloon guppy: Has a round body shape which is almost similar to a balloon.

14. Grass guppy: Has a green coloration and a pattern that resembles grass.

15. Neon guppy: Has a bright neon coloration on the body.

16. Mosaic guppy: Has a unique pattern of coloration on the body.

17. Blonde guppy: Has a unique light coloration on the body.

18. Endler's guppy: A small guppy that is closely related to the wild-type guppy.

19. Giant guppy: A larger guppy that can grow up to 4 inches in length.

20. Dwarf guppy: A small guppy that is usually less than 2 inches in length.

It is worth noting that this list is not exhaustive and there are many other types of guppy fish that exist. Also, some guppy fish can have a combination of different variants, such as a half-moon guppy with a metallic coloration. Also, some guppy fish can be classified as a specific breed or variety by the official organizations that keep track of such things, such as the International Fancy Guppy Association (IFGA) and the Guppy International Breeders Association (GIBA).