A surface level, the rarities determine how likely you are to find a card overall
and XY eras (some of these also have more than one -holo/stamp- variation in their respective languages, but lets ignore that for now): 012 promo: English, Japanese, Italian 035 promo: English, Japanese DP16 promo: English, Japanese, German, French HGSS03 promo: English, Japanese, French, Italian BW54 promo: English, Japanese, Italian XY84 promo: English, Japanese, German, French, Portuguese, Korean XY89 promo: English, Japanese, Korean XY95 promo: English, Japanese, French, Portuguese XY124 promo: English, Japanese, German, French, Italian, Spanish, Portuguese, Korean XY174 promo: English, German, French, Italian, Spanish, Portuguese, Korean, Russian (Im still very surprised this one is released in all those languages, but not in Japanese
Other card conditions include Lightly Played, Moderately Played, Heavy Played, and Damaged
When you are on the pack screen, tap on Select other booster packs on the lower right corner
After a few plays, I think Ive seen all that Lorcana has to offer for now
Differentiated Advantage Picks are leaders in specific, high-demand attributes like buyer retention