If it was me...and I'm just going on what I've collected over the years in bulk...
Resistors?
10, 47, 100, 470, 1K, 2.2K, 4.7K, 10K, 47K, 100K, 470K, 1Meg
Ceramics?
10pf, 220pf, .1uf (lots), 1uf
Electrolytics?
mainly in multiples of 10, 1uf, 10uf, 100uf, etc. and a couple big ones.
More transistors?
2N3904, 2N3906
Diodes...
1N4004, 1N4148, 1N5819, 1N5822, MBR745
"I'm not really thinking about any logic chips right now unless it's something extremely useful."
Get a handful of 74xx00 quad NAND's. In a pinch, you can make anything with NAND gates.
Other regulators? (probably 317 I'm thinking)
LM317 is good enough, if you're aware of it's shortcomings.
Other linear regulators, I like the LT1129 series 'cause they've got on/off pins. Past that, 7803, 7805, 7809, 7812, and some heatsinks, plus maybe a couple of negative regulators. But, the 78xx series aren't Low-dropout, so if you've got the option, get some LDO types as well.
What other kinds of chips?
74138 or 74154 digital demux's, 4066 quad analog switch, 74151 input mux's, generic opamps, TL084 types, 32.768khz crystal, 4/8/10/25Mhz crystals or oscillators, 7474 D flip-flop, 74193...
But the list goes on and on...guess you gotta cut what you don't think you'll ever use.