Randomemory, the Dutch is fine against the English. You just have to know the tricks that are available to white with c4 played instead of having committed to d4.
The Leningrad setup can be played against either one without problem. It will often transpose to 1.c4 e5 lines with an early f5 since Black will typically play f5, Nf6, g6, Bg7, d6, and e5.
The lines with 2...e6, Black must know when it's appropriate to play ...d5, and when it's not. Many times, he has to be willing to take on a classical setup (Black pawns on d6, e6, and f5, preparing ...e5). To play "stereotypical" moves in the Dutch, virtually not paying attention to White is doing, and yes, those Anglo-Dutch lines will kill you. However, 1.c4 f5 is not any stronger for White than any other "normal" position after Black's first move (i.e. e4 e5 or d4 d5 or f4 d5 or e4 c6, etc.)
The Maroczy was considered hazerdous for black, quite a long time ago! Since then, Black can has found ways to break the bind, and can get a fine position against the Maroczy if he knows what he's doing. Plenty of decent players specialise in these setups on the black side.
Greg Shahade is one example, who used it to draw against GM Shabalov last year: