First up would have to be the Claw Rig. I’ve used a variation of this rig ever since I can remember, and it’s a presentation I have complete confidence in. It’s also a rig which suits my style of angling as more often than not I’ll be targeting small cleaned off spots, or firmer areas, and almost always over bait. 

The combination of a large hook with a small 12mm hookbait sitting proud, ready to grab hold, certainly sorts them out. Couple this with a large lead and you can see why it’s so very effective. Over time I have made slight tweaks to the rig, the most recent being the use of either an OE, or the new BC (Beaked Chod) TA hook. I found the out-turned eye with that aggressive shrink tube kicker, opens the gape up a fraction more aiding mechanics.
 
The second rig would have to be a hinged rig. It’s a rig which ticks so many boxes and can be used in a lot of fishing situations. Whether that is fishing for ‘boshers’ when you’re sure they are down on the bottom, or fishing zones over a spread of boilies. Hinged rigs are even great for fishing in low weed, when combined with long booms and light leads.
 
So yeah, if I only had the use of two rigs, these would get my vote. Between the two I’d have most angling situations well and truly covered…