An arcade action game from Taito in 1996. It carries the subtitle "The Story of Bubble Bobble III", sharing the subtitle with the game Parasol Stars for the PC engine in 1991. Unlike Parasol Stars, however, Bubble Memories shared the gameplay with the original Bubble Bobble, having players play dinosaurs blowing bubbles to capture enemies in.
The arcade was first ported to Playstation 2 in 2007, as part of the Taito Memories II collection.
Source of information: Japanese Wikipedia, "バブルメモリーズ," available under the CC-BY-SA License.