Bosses in Mega Man Star Force 1

Standing NPCs in the Wave World

Area	Navi
Cancer Bubble	Talk to Claud Pincer in Big Wave. Cancer Bubble will be fightable at AMAKEN Foyer EM-Rd.
Wolf Woods	Talk to Damian Wolfe on Nacys Roof 1F. Wolf Woods will be fightable at Event Stage EM-Rd.
Crown Thunder	After clearing the story, talk to Couronne XIV in Scrapyard1. Crown Thunder will be fightable at City Dump EM-Rd.

Ghosts in the Wave World

Area	Navi
Taurus Fire	EX & SP - Echo Ridge EM-Rd (Echo Ridge)
Cygnus Wing	EX & SP - Lab EM-Rd (Boreal's Lab in AMAKEN)
Harp Note	EX & SP - Vista Pt. EM-Rd (Vista Point)
Libra Scales	EX & SP - Class 5-A EM-Rd (Echo Ridge Elementary)
Queen Ophiuca	EX & SP - Time Sq. EM-Rd (Time Square)
Gemini Spark	EX & SP - Dream Park EM-Rd (Dream Island's park)
Pegasus Magic	(Pegasus) EX & SP - DeepSpace3 EM-Rd (Deep Space)
Leo Kingdom	(Leo) EX & SP - DeepSpace3 EM-Rd (Deep Space)
Dragon Sky	(Dragon) EX & SP - DeepSpace3 EM-Rd (Deep Space)

Cloaker

Using Cloaker is basically useless for finding bosses in Star Force 1. In this game, it essentially only halves the encounter rate. In later games, Cloaker can ignore weak enemies according to MegaMan's HP.

Admin Dimming Card

The Admins (Pegasus Magic, Leo Kingdom, Dragon Sky) have a special undodgeable and breaking dimming card. Players can either use a Battle Card beforehand to defend against it, or defend as they use the dimming card with a Cut In. It works as it would in a VS battle.

Enemy Movement quirk

When some enemies move, they will travel with a stretched model, but other enemies move will leave a warp sprite. Those that have a stretched model can be hit with a attack in that frame. However, if an enemy leaves that warp sprite and their HP disappears, they are off the field and attacks will attempt to target but miss entirely. These include screen-dimming attacks that guarantee to land but will ultimately miss.

This applies to some minor enemies, but it's notable for a few boss characters: Cancer Bubble, Wolf Woods, and Crown Thunder.