It's normal/expected that modes like 720x400 (VGA text mode) and 640x480 will show scanlines on a large CRT that's been designed for higher resolutions. In order for modes like 1024x768 and 1280x1024 to be legible, the electron beam needs to be quite narrow, making 400-line and 480-line modes have visible gaps between the lines.
Here's an example from my 19" Trinitron. The second photo is showing a 320x200 mode (with 256 colours) where the VGA card is double-scanning, i.e. outputting two scanlines for each pixel. If the VGA didn't double-scan the 200 line modes, there'd be huge black gaps between each scanline even on a modest 14" or 15" display.
Myself, I'm quite fond of the scanline effect. It gives some 'texture' to the output which is missing from modern displays. Note that in these photos, I've cranked the brightness up to 100%, which causes even the black pixels to have a faint scanline visible. Normally I'd run the display with brightness/contrast set so that black pixels are fully black.