Exclude all Tetris games, it's clones (including, but not limited to Columns and Super Puzzle Fighter), and card games.
Only include fighting games (examples include but are not limited to MKII with its consecutive wins streak and the Genesis version of Super Street Fighter II) or shooters (like Time Crisis or Silent Scope where you're given an accuracy score at the end of each part) if getting a high is the thing that excites you most about those games.
I'd have to say Nights into Dreams, although I haven't played any good score attack games in ages. Sega generally tended to make more score attack games than anyone else and they were usually good. Even if the game wasn't a score attack game, they still gave you a letter grade (SA2, Golden Axe, Crazy Taxi), gave a percentage and a descriptor for the percentage you got (Legend of Oasis and Panzer Dragoon II Zwei IIRC), gave a percentage of your accuracy (light gun games like VC), or the percentage of enemies you killed (Panzer Dragoon's "Shot Down Ratio")
Only include fighting games (examples include but are not limited to MKII with its consecutive wins streak and the Genesis version of Super Street Fighter II) or shooters (like Time Crisis or Silent Scope where you're given an accuracy score at the end of each part) if getting a high is the thing that excites you most about those games.
I'd have to say Nights into Dreams, although I haven't played any good score attack games in ages. Sega generally tended to make more score attack games than anyone else and they were usually good. Even if the game wasn't a score attack game, they still gave you a letter grade (SA2, Golden Axe, Crazy Taxi), gave a percentage and a descriptor for the percentage you got (Legend of Oasis and Panzer Dragoon II Zwei IIRC), gave a percentage of your accuracy (light gun games like VC), or the percentage of enemies you killed (Panzer Dragoon's "Shot Down Ratio")
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