The recognition helix is an example of the most common recognition motif, an alpha helix making hydrogen bonding contacts in the major groove. The packing helix in the helix-turn helix motif holds it into groove. Just as in enzymes, much of the rest of the protein is scaffolding to fold the business end and keep it in place.
There are stabilizing contacts from other parts of the protein to neighboring grooves, often in the form of arms which reach into a neighboring groove or make backbone contacts. These are more elaborate and obvious in other related proteins like the "winged helix" family.
Bacterial/phage repressors are typically homodimers which bind to inverted repeats -- apparently biology typically can't get enough affinity/specificity from just one alpha helix/major groove interaction. Similarly, eukaryotic homeodomain proteins typically bind as heterodimers with other proteins, for example the yeast Mat a1/Mat alpha 2 complex.
On the lambda repressor, we zoomed in and looked at an Asn-A contact, with associated water molecules contacting a neighboring T. The hydrogen bonding groups tend to buttressed into a network that makes many contacts within itself and to DNA.
Zinc fingers are good for engineering: the fingers are semi-independent and they contact primarily one strand. Designed Zinc fingers can bind to any sequence, though it is easier to make them bind to G-rich strands. Sangamo Biosciences is trying to make a business of delivering "payloads" that control transcription using engineered zinc fingers, but this is not necessarily a stock tip -- remember all those car companies in the early twentieth century. We showed an example of an Arg (buttressed by an Asp) interacting with a G from the Zif268 structure.