The H I distributions in the edge-on spiral galaxies NGC 4565 and NGC 891 have been mapped at a resolution of approximately 4 arcsec with the VLA. The peak brightness temperatures are similar to those in the Milky Way, as are the comparable small- and large-scale structures. Both galaxies show large asymmetries in the distribution of the neutral gas. The warp in NGC 4565 contains roughly one-fifth of the total H I; it is very abrupt, changing by approximately 45-degrees in position angle within a few hundred parsecs, and may turn back at large radii to parallel the plane of the galaxy. The velocity structure implies that the warp is continuous around the edge of the disk, but is not azimuthally symmetric. Even excluding emission from the warp, there is up to 20% more H I throughout the northern half of the galaxy, with significant asymmetries in the radial profiles as far in as R = 7 kpc. Four or five H I "rings" are detected, possibly associated with spiral structure, with the distance between rings about 2.5 kpc. In NGC 891, the H I extends beyond the main disk on both sides of the galaxy, although the southern extension is far more dramatic. Although interpretation is difficult, the gas here also appears to bend away from, and then bend back towards, the plane of the galaxy; again, the extension covers a fair range in azimuth. Unlike NGC 4565, the asymmetry in the total H I seems completely explained by the asymmetry in the gas in the extension, with the extension containing at least 6% of the total H I mass. Again, there are a number of bright H I "blobs" that may correspond to spiral arms; these features mask any general asymmetries in the H I distribution about the nucleus.
