I posted this question in several other places as well (the nmbrthry mailing list, and sci.math.research). Here, completely unedited, is the bulk of an email I just got from Rene Schoof.
page 30 line -16 we conclude that L_1 .... (rather than "the")
page 83 last line ...|f(alpha_0)|/|f'(alpha_0)| (index 0 missing)
page 86 line 16: numbering (one word)
page 86 line 17 Then f_1(x) .... (f is missing)
page 98 last line \phi(g'g) (no inverse) (think so)
page 99 line -17 The inflation map departs from H^q(G/H, A^H)
page 99 line -6 the map departs from H^q(G,A^t)
page 101 line 13 Hom(Z[G/H], A^*))
page 104 the top horizontal map in the commutative diagram should be delta^
page 106 formula (7.3) starts like (f.g)d= (df) ....
page 115 lin -3 follows from (ii) (rather than (iii))
page 113 Theorem 8 in the formulation one should add "for all p"
page 135 the ugly lemma ...you know already
page 141 Prop 2. Z should be bold face.
page 141 last lines of section 2.4 "q" is not the "q" of line 5 of section 2.4
page 144 line -4 I_\pi is topologically generated by sigma_pi
page 145 G = G_{L/K}
page 145 In Prop. 6 should be "(1) of prop 5 holds"
page 147 line -17 add "K is a local field"
page 148 line 7 f(X) = pX + .... (f is missing)
page 150 line -17 formula should be "f.phi^(p) - phi^(p).g... (rather than f)
page 153 line 14 ring A should be A^_nr (?)
page 155 line 5 of section 4.1 {Z \cup \infty} should be Z \cup {\infty}
page 157 line -2 f(chi) (f is missing)
page 173 section 5.6 "Number Field case" (rather than Number Theory Case)
page 177 last symbol on page should be J_L
page 195 in the big diagram the third top vertical arrow should not be there (at this point in the proof)
page 196 line 5 Im beta_1 \supset Im(inv_1)
page 242 in the diagram top left corner E_k (rather than E_K)
page 284 footnote: this is my favorite. After Stalin ... :-) [Note by KB: that's no typo!]
page 292 line -2 of the introduction "maximal unramified extension"
page 312 line -7 ....L_1(k^+ - 0) (bracket missing)
page 357 in displayed formula: f(tX + Y) ... (f missing)