Big Ol Eyebrows
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An extremely old Japanese artistic convention is giving men bushy eyebrows. The manly oyaji usually has them, and it makes his expressions more imposing and tougher. A lot of older shonen manga uses this style to great effect. Unless it's specifically part of the art style, Big Ol Eyebrows are a common Art Shift gag when a character is being overdramatic.

Women tend to get very thin eyebrows. Thicker eyebrows are usually just a convention to make their faces more noticeable or make their facial expressions funnier.

Speed Stripes
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In anime, characters moving at high speed often appear in front of a set of moving colored lines -- usually blue background with yellow stripes, although depending on the impact, any color combination may be used. This is usually done because drawing a proper background moving behind the character would require drawing a large background from a camera angle which would only be seen for a split-second. The direction of the lines indicates the direction; if the lines seem to be coming from a central point, then it is because the character is moving toward or away from the screen.

A variation of this is the Moving Punchout, where two characters are fighting and obviously moving (usually in the same direction, although sometimes towards each other), with speed stripes as the background.

This is an effect from Manga, and is indicative of a stylistic difference between the west and Japan in the depiction of movement. While speed lines in the west are traditionally drawn on the character and leave the background in focus, the Japanese artist traditionally speed-lines the backgound, leaving the character in focus. In the western version, the observer is a stationary bystander being passed or approached by the character, but in the Japanese version the reader is moving with the character.

One Head Taller
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A character who could be considered 'dominant' (often more serious or reserved) in the relationship if often taller than their significant other, frequently One Head Taller. Being One Head Taller naturally allows you to tuck someone under your chin when surprising them with a hug. This rarely works the other way around, although the 'cutesy' partner being taller is usually a deliberate humorous device for the audience to notice. In that case, the grouchier counterpart is hugged the way one would a puppy.

A noticable exception are (arguably "dominant" ) Tsunderes, who are short. On the other hand, the act of cuddling is designed to show off their cute side.

This is an extremely pervasive trope in BL work, to the point shippers drawing doujinshi will occasionally modify the heights of characters to make the stereotype work.