The Lancashire seamer helped England enjoy a superb start to the three-Test npower series, claiming two early wickets as the tourists slumped to 104 for five after being put in to bat.
But by the time bad light and rain halted play after only 52.1 overs, New Zealand had recovered to reach 208 for six after Brendon McCullum hit a superb run-a-ball 97 to rescue his side from complete capitulation.
They will resume today with all-rounder Jacob Oram and captain Daniel Vettori at the crease and Anderson is wary of the threat they pose to England's hopes of limiting them to a lowly first-innings total.
"Their middle order is pretty dangerous with Oram in at number seven now and Vettori at number eight it's very strong and experienced," Anderson said.
"That's something we have to be wary of and if we do get early wickets like the we did yesterday we can't expect to bowl them out cheaply every time because they have got strength in depth."
Oram helped McCullum, who hit two sixes and 13 fours in his innings, add 99 off 114 balls before he was bowled by left-arm spinner Monty Panesar just two overs before New Zealand accepted bad light.
"He played magnificently well and when he gets into that sort of mode it's very hard to tie him down," admitted Anderson.
"He's quick on his feet, he's got a good eye and he can be very hard to deal with when he gets going."
McCullum accelerated quickly after tea having started his innings in conservative fashion, adding 61 off 42 balls after the interval, and admitted he never felt comfortable on that pitch.
"For the first period it was hard to gauge the pitch and the consistency and pace of bounce so it was very hard to adapt your game accordingly," he said.
"It wasn't until later on that I felt I'd started to get the pace of it and that was when I started to get a touch more aggressive."
But McCullum believes that if New Zealand can add another hundred runs when they resume today, it will be competitive enough to put England under pressure for the remainder of the match.
"Somewhere around 300 or 350 would be a fantastic effort after losing the toss on that wicket," he added.
"That's obviously our goal and if we do that we will bowl with a lot of confidence that we can certainly hold our own in this game".

England v New Zealand
Lord's
New Zealand First Innings
J How c Ambrose b Anderson 7
A Redmond c Cook b Anderson 0
J Marshall c Strauss b Broad 24
L Taylor c Collingwood b Broad 19
B McCullum b Panesar 97
D Flynn b Anderson 9
J Oram not out 23
D Vettori not out 5
Extras b12 lb8 w1 nb3 24
Total 6 wkts (52.1 overs) 208
Fall: 1-2 2-18 3-41 4-76 5-104 6-203
Bowling: Sidebottom 18.1 5 50 0; Anderson 12 3 42 3; Broad 15 3 70 2; Collingwood 3 1 11 0; Panesar 4 1 15 1.