What are good trainers and supporters?

Umm this isn't reallya rulings question. But to answer your quetion it really depends on the deck you're using and what type of style you like. You can use the Ball Engine which uses mostly trainers or you could use a Supporter heavy deck with Sableye SF as the starter.
 
Let's see:

Bebe's Search
Roseanne's Research
Night Maintenance
Time-Space Distortion
Rare Candy (For deck with Stage 2 cards)
Warp Point
Luxury Ball
 
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