Always Be Running (ABR) is obviously very useful for Adam but can be extremely powerful in both Quetzal and Apex as well. Both the bird-girl and the doom-bot already use e3 Feedback Implants.
Combine these with the right breaker suite (e.g. the Deva suite for Apex) and ICE removal tools (Prey, Parasucker and the cutlery suite) the runner will be able to get into any server and keep it open too.
It's worth noting that 4 of the ICE removal tools are also run events. If you throw in Run Amok on top the corp will have a lot of trouble keeping any ICE rezzed at all.
Dirty Laundry, Early Bird and Doppelgänger offset some of ABR's disadvantages and combining these with either the successful run bonus package or the jack-out package can fix a lot of the potential economic problems ABR causes.
It's unfortunate that Jak Sinclair does not satisfy the 1st requirement so he does not combo with ABR.
Finally if we are talking about run events we certainly shouldn't leave the often ignored Ken "Express" Tenma out of the conversation. If there is any runner that wants to make one successful run each turn with a run event it's hard to look past the escaped clone. e3 Implants is a good choice for Ken anyway and paired with a suitable breaker suite (possibly including Grappling Hook?) there isn't much that can't be broken.