The player cards from the Hawks set are a throwback to a couple of Topps early sets. They've got the large rectangle on the lower part of the card that doesn't quite go the entire width of the card from the 1953 Topps set and the "team name on an angle in the upper corner" feature of the 1966 Topps set.
|Back Of Kokubo's card (#H46)|
The remaining 11 cards in the set (I'm skipping the card showing the mascots which is in the same format as the player cards) fall into three subsets. The first of these subsets, the four "Newcomer" subset, features a design that again borrows heavily from a couple old Topps sets. The fronts feature the player's head with the word "NEWCOMER" on the top of the card and on the bottom of the card (but upside down there). There's also a baseball in the top left and bottom right corners of the card:
|Back Of Hideki Okajima's Newcomer card (#H91)|
If that doesn't make you think of the backs of the 1973 Topps cards, then you must never have seen the back of a 1973 Topps card. (I'm amused that in the stats on the back of the cards, Okajima's uses a katakana symbol for the Red Sox while Brad Penny and Willy Mo Pena's cards use letters for all the teams - BOS, CIN, FLA, LAD, etc.)
The remaining two subsets (the two card "Next Ones" and the five card "Titleholder" subsets) both look like traditional BBM subsets:
The inspiration for the Lions set is a little more recent - the 2009 O-Pee-Chee set produced by Upper Deck. Here's a couple examples:
|Back Of Kataoka's card (#L46)|
The first subset is a three card "puzzle" or "sequence" series of cards featuring Kazuhisa Makita. Each one of the three cards shows three sequential images of Makita's pitching motion - if you line them up in order you'll see nine sequential images of Makita's motion. This is not an unusual subset for BBM's team set, but this is the first time I've see it done in a horizontal format:
|#L79, #L76 and #L73|
I need to thank Jason for his comments - I hadn't picked up on the 1953 Topps element in the Hawks set and I didn't know the Lions set was based on the 2009 O-Pee-Chee set until he mentioned these things.