But after guiding his side to within 34 runs of their target, Anderson fell for 88 as Lachie Ferguson took the crucial wicket.
ND still had 25 balls to overhaul Auckland but that dream died in the penultimate over as a pair of wickets fell to eventually leave the hosts 11 runs short.
Elsewhere, Canterbury joined Auckland atop the standings, claiming their second victory courtesy of a formidable all-round bowling effort against Otago.
Having been sent in at Molyneux Park in Alexandra, Peter Fulton (81) was the only Canterbury batsman to enjoy a significant stay at the crease in what appeared a slightly-insufficient total of 228.
But that target loomed a lot larger as early as the second over when both openers were dismissed for ducks, as Anaru Kitchen was caught behind from the bowling of Ed Nuttall and Michael Bracewell was run out by Leo Carter.
Otago never recovered from falling to 0-2 as six Canterbury bowlers shared the wickets to dismiss their hosts for 163.
At the Basin Reserve, a century from George Worker helped Central Districts bounce back from their first-round loss and earn a 32-run victory over Wellington. Worker, having dropped out of the Black Caps' squad for the final ODIs against Sri Lanka, opened the innings and smashed 114 from 120 balls as CD were dismissed in the 45th over for 241.