Standard and popular
graphic modes

Atari 8 bit

Atari 8 bit computers used GTIA chip which supported these text modes:

Mode 0 40x24 chars, 2 colors
Mode 1 20x12 chars, 5 colors
Mode 2 20x24 chars, 5 colors
Mode 3 40x24 chars, 4 colors
Mode 12 40x24 chars, 5 colors
Mode 13 40x12 chars, 5 colors

GTIA also supported these graphic modes:

Mode 4 80x48, 2 colors
Mode 5 80x48, 4 colors
Mode 5 160x96, 2 colors
Mode 7 160x96 (160x119) (128x96) (192x96), 4 colors from a palette of 128
Mode 8 320x192, 2 colors (monochrome)
Mode 9 80x192 (80x239), 16 colors (16 colors with same chrominance)
Mode 10 80x192 (80x239), 9 colors from a palette of 128
Mode 11 80x192 (80x239), 16 colors (16 colors with same luminancer)
Mode 14 160x192, 4 colors from a palette of 128
Mode 15 (Hires) 320x192, 2 colors from a palette of 128

Popular non-standard modes are:

HIP 160x240, 30 colors grayscale
RIP 160x238, 40 colors (144 in theory)
TIP 160x100, 256 colors
HR2 320x200, 5 colors
INP 160x192, 7 colors
ILC 80x192
SHIMC 640x192, 4 colors from a palette of 16384
HCI (HR2) 320x200, 8 colors
Cin 160x192, 64 colors

Atari ST

ST-LOW 320x200, 16 colors from a palette of 512
ST-MED 640x200, 4 colors from a palette of 512
ST-HIGH 640x400, black and white
TT-Low 320x480, 256 colors from a palette of 4096
TT-Mid 640x480, 16 colors from a palette of 4096
TT-High 1280x960, black and white

Spectrum 512320x200, 512 colors, 48 colors per line

Atari STE

ST-LOW 320x200, 16 colors from a palette of 4096
ST-MED 640x200, 4 colors from a palette of 4096
ST-HIGH 640x400, black and white

Amiga OCS

OCS (Original Chip Set) was a chip used in: Amiga 500, Amiga 1000, Amiga 2000. Supported standard graphic modes are:

PAL:

High Res 640x256, 16 colors from a palette of 4096
High Res Laced 640x512 PAL, 16 colors from a palette of 4096
Low Res 320x256, 32 colors from a palette of 4096
Low Res Laced 320x512, 32 colors from a palette of 4096

NTSC:

High Res 640x200, 16 colors from a palette of 4096
High Res Laced 640x400, 16 colors from a palette of 4096
Low Res 320x200, 32 colors from a palette of 4096
Low Res Laced 320x400, 32 colors from a palette of 4096

Additional modes available for games and programs are HAM (Hold and Modify) and EHB (Extra Half-Brite):

PAL:

EHB 320x256, 64 colors from a palette of 4096
EHB Laced 320x512, 64 colors from a palette of 4096
HAM6 320x256, 4096 colors from a palette of 4096
HAM6 Laced 640x512, 4096 colors from a palette of 4096

NTSC:

EHB 320x200, 64 colors from a palette of 4096
EHB Laced 320x400, 64 colors from a palette of 4096
HAM6 320x200, 4096 colors from a palette of 4096
HAM6 Laced 640x400, 4096 colors from a palette of 4096


Using Commodore A2024 monitor additional modes are available:

PAL 1008x1024, 4 colors from a palette of 16 grayscale colors
NTSC 1008x800, 4 colors from a palette of 16 grayscale colors

Commodore 16/Commodore Plus 4

Hi-Res 320x200, 2 colors (per 8x8 cell) from a palette of 121
Multicolor 160x200, 2 colors (per 4x8 cell) and 2 screen-wide colors, from a palette of 121

Commodore VIC-20

Text 23x22 chars
Multicolor 160x192

Commodore 64

PETSCII 40x25 characters
Hi-Res 320x200, 2 colors (per 8x8 cell) from a palette of 16
Multicolor 160x200, 3 colors (per 4x8 cell) and 1 screen-wide color, from a palette of 16

Popular non-standard modes:

FLI 160x200, 16 colors from a palette of 16
IFLI 320x200, 6 colors (per 8x1 cell) from a palette of 128 colors
Super Hires FLI 96x167, 4 colors (per 1x8 cell) from a palette of 16 colors
Super Hires IFLI 96x167, 4 colors (per 1x8 cell) from a palette of 128 colors

ZX Spectrum

Text 24x32 chars, 8 colors
Graphic 256x192, 15 colors (2 colors per 8x8 block)
Mono 256x192, 15 colors grayscale (2 colors per 8x8 block)

SAM Coupé

Mode 1 256x192, 16 colors (8x8 cells) from a palette of 128 colors
Mode 2 256x192, 16 colors (2 colors per 8x1 cell)
Mode 3 512x192, 4 colors
Mode 4 256x192, 16 colors from a palette of 128

Amstrad CPC

Mode 0 160x200, 16 colors from a palette of 27 colors
Mode 1 320x200, 4 colors from a palette of 27 colors
Mode 2 640x200, 2 colors
Mode 3 160x200, 4 colors from a palette of 125 (available in BBC Micro)

Mode 5, 288x256, 27 colors

Additional modes using FullScreen Trick

FullScreen Mode 0, 192x272, 16 colors from a palette of 27 colors
FullScreen Mode 1, 384x272, 4 colors from a palette of 27 colors
FullScreen Mode 2, 768x272, 2 colors


Amstrad Plus models supports palettes of 4096 colors

Thomson

Thomson TO 8, Thomson TO 8D, Thomson MO 5
Mode 1 160x200, 16 colors from a palette of 4096 colors
Mode 2 320x200, 16 colors (2 colors per 8x1 cell) from a palette of 4096 colors
Mode 3 640x200, 2 colors

Sinclair ZX-81

Text 64x48 chars, mono
Custom chars 256x192 pixels

MSX 1

Screen 0 40x24 chars, 2 colors from a palette of 15
Screen 1 32x24 chars, 15 colors (2 colors per 8 characters) from a palette of 15
Screen 2 256x192, 15 colors (2 colors per 8x1 cell)
Screen 3 64x48, 15 colors

MSX 2

Screen 0 80x24 chars or 80x26.5 chars, 2 colors from a palette of 512
Screen 4 256x192, 16 colors (2 colors per 8x1 cell) from a palette of 512 colors
Screen 5 256x212 (256x424 interlaced), 16 colors from a palette of 512 colors
Screen 6 512x212 (512x424 interlaced), 4 colors from a palette of 512 colors
Screen 7 512x212 (512x424 interlaced), 16 colors from a palette of 512 colors
Screen 8 256x212 (256x424 interlaced), 256 colors

MSX2+

Screen 10 256x212 (256x424 interlaced), 12499 colors + 16 colors from a palette of 512
Screen 11 same as screen 10 but handled differently by the BIOS
Screen 12 256x212 (256x424 interlaced), 19268 colors


MSX modes corrected thanks to FRS.
Atari modes corrected thanks to Vidol.
Amstrad modes corrected thanks to ZbyniuR.