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Here to follow are a few hundred piece-types left over from Land and
Water Rook, the best two of them, at C.D.A.,
http://www.chessvariants.org/index/displaycomment.php?commentid=28066.  Below 'neutral' or 'passive' describes a move without capturing
-- mostly the same Divergent concept of Lennert and Gilman now going on for Pawns.
(1) Firstly, there are hundreds of ways for Rook to capture: just make it
move as Rook passively and capture divergently as Man, Camel, Zebra, Knight, or any
other standard. Most of those divergent pieces are never used or described
yet. (2) Secondly, some Cannons. Cannon-Colour-One and Cannon-Colour-Two.
Both move neutrally as Rook and actively Cannon-style with a screen before along some orthogonal.  However, these are Cannon-types subtly
weakened from 5.0 to about 3.0 for C.D.A. use. C-C-One requires the
captured to be on light square and C-C-Two requires captured on dark
square. They are two different piece-types identifiable by unique
definition and ideal for reaching C.D.A. 31.0 target points. (3) 
Thirdly, back from Cannon to regular Rook, the main idea for damping values to about 3.0 points, working just as well as for Cannon, involves Rook-Colour-One capturing only on light, and Rook-Colour-Two capturing only on dark.  No indication of ''binding'' can merge the two types into one really in their also have a somewhat different 'divergency' concept than usual, that is, by square-type. Rooks-One and -Two are passively the same and actively different. These processes are endless.  Staying with regular Rook, let it move normally and capture by means other than displacement. Then there are: (a) Custodial Rook, capturing with any own Pawn across capturee radially adjacent; (b) Advancer Rook rococo-style but never diagonally; (c) Long Leaper Rook ultima-style but never diagonally; (d) Dawson-grasshopper style Rook is passive-standard Rook, thus making another new divergent piece; (e) Jacks & Witches,  http://www.chessvariants.org/large.dir/contest84/jacksandwitches84.html, mode of cannon/canon can combine above 'a' and 'b' by the p-t changing from move to move, or else 'a' and 'c' the same ''flipping'' way, and so on; (f) Custodially with a given specific piece-type belonging either side; (g) By usual coordination double-orthogonal with own King, a concept not used before Rook-exclusive; (h) Coordination with one of any paired piece that still has its double somewhere on board. All these particular 'a' to 'h' are combinable several other ways for more and more piece-types, and easily expandable to 'aaa' and 'aaaaa' eventually and 'hhhhhh', most falling within sensible meaning of Divergency, which is just moving and capturing differently -- like the f.i.d.e. orthodox Pawn. 
Then there still are many more combinations for piece-types to be made having plain displacement capture. Make one up quickly now on the spot:
Only where the line joining two Kings intersects can there be capture, for a very weak rook Pawn-value of discussion Charles and Jeremy.