Old Card Game Starting with "SK": It's Almost Certainly Skat
The most likely answer is Skat (not "Skunk"—that's a dice game).
Skat
Origin: Germany, ~1810–1820; national game of Germany.
Players: 3 (2 active, 1 sits out each hand as dealer).
Deck: 32 cards (7–A in each suit; French or German suits).
Type: Trick-taking with bidding; declarer vs. two defenders.
Key mechanic: Bid to become declarer, pick up 2-card "skat," choose trump, play alone against both opponents.
Scoring: Complex; game values × multipliers (matadors, hand, schneider, schwarz).
Other "SK" Card Games
Skwitz / Scwitz – Scandinavian fishing game (capture cards by matching).
Schnapsen – 2-player Austrian game; 20-card deck; close relative of 66.
Skull – Modern bluffing game (2011); coasters, not traditional.
Skip-Bo – Commercial sequencing game (1967); Mattel.
If None Match
Provide more clues:
Number of players
Deck type (standard, stripped, special)
Trick-taking? Shedding? Matching? Betting?
Region/country of origin
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Skat is the only historically major "SK" card game. It's deep, competitive, and still widely played in Germany and online (e.g., Skatstube, GameTwist).