Source: The Californian. Some of the channels like TNN, Weather Channel, etc., weren't shown in the tv listings but from what I can remember, although I might be stretching me memory a little. Notice Showtime and TMC weren't listed. Those weren't even available until 1992. Many of the LA stations (such as KSCI, KWHY, etc.) weren't even carried until 1993.
02 – KCBS (CBS 2 Los Angeles)
03 – Prevue Guide
04 – KNBC (NBC 4 Los Angeles)
05 – KTLA (IND 5 Los Angeles)
06 – KCET (PBS 28 Los Angeles)
07 – KABC (ABC 7 Los Angeles)
09 – KCAL (IND 9 Los Angeles)
10 – KMEX (UNI 34 Los Angeles)
11 – KTTV (FOX 11 Los Angeles)
12 – KTBN (TBN 40 Santa Ana)
13 – KCOP (IND 13 Los Angeles)
14 – USA Network
15 – CNBC/Prime Ticket
16 – CNN
17 – ESPN
18 – TNT
19 – QVC
20 – Weather Channel
21 – TBS SuperStation
22 – A&E Network
23 – KVEA (TEL 52 Corona)
24 – Community Access
25 – Headline News
26 – Family Channel
27 – The Nashville Network
28 – Lifetime
29 – Discovery Channel
30 – American Movie Classics
32 – HBO
34 – Cinemax
36 – Disney Channel
37 – CSPAN
38 – WGN (IND 9 Chicago)
39 - Nickelodeon
40 – MTV
41 – VH1
02 – KCBS (CBS 2 Los Angeles)
03 – Prevue Guide
04 – KNBC (NBC 4 Los Angeles)
05 – KTLA (IND 5 Los Angeles)
06 – KCET (PBS 28 Los Angeles)
07 – KABC (ABC 7 Los Angeles)
09 – KCAL (IND 9 Los Angeles)
10 – KMEX (UNI 34 Los Angeles)
11 – KTTV (FOX 11 Los Angeles)
12 – KTBN (TBN 40 Santa Ana)
13 – KCOP (IND 13 Los Angeles)
14 – USA Network
15 – CNBC/Prime Ticket
16 – CNN
17 – ESPN
18 – TNT
19 – QVC
20 – Weather Channel
21 – TBS SuperStation
22 – A&E Network
23 – KVEA (TEL 52 Corona)
24 – Community Access
25 – Headline News
26 – Family Channel
27 – The Nashville Network
28 – Lifetime
29 – Discovery Channel
30 – American Movie Classics
32 – HBO
34 – Cinemax
36 – Disney Channel
37 – CSPAN
38 – WGN (IND 9 Chicago)
39 - Nickelodeon
40 – MTV
41 – VH1