Other funny bits from over the years:
The Alacorn entry in the first printing of TRO:3058 suffered a critical hit during its visit to the printers, and a passage that should have lauded its "devastating firepower" instead made reference to its "derastative repower."
Handbook: House Kurita reveals that pikachu-esque electro-rodent critters exist in the Draconis Combine, and some yakuza make it their quest to catch 'em all.
The BlackThorne BattleTech comics (printed under license from FASA) indicated that the Capellan Minister of Economics had blue skin and went about the palace on Sian in full Ming the Merciless robes. (This could actually explain quite a bit about the Capellan economy...) They also showed ComStar ROM agents having pointed ears and dorsal fins on their heads, and using bows and arrows (an apparent shout out to the Alpha Centaurians from the 1970s Guardians of the Galaxy comics.)
Early fiction tried to establish that "Death's Head" Vang was one of the greatest 'Mech instructors in the Federated Suns, putting his students through grueling training apprenticeships. Yet, the scenario that pitted his cadet graduates against the Black Widow Company showed most had gunnery skills of 6 or worse. (Of course, scenarios of that era also gave Natasha a Gunnery of 4 or 5, and Grayson Death Carlyle a Gunnery of 8, so...)
The House Liao sourcebook had some internal chronology issues, resulting in a newspaper editorial excoriating one Liao family member for causing an economic recession. Per the family tree at the back of the book, the Liao in question would have been about three years old at the time. (Another Liao was noted for having died in combat at the controls of his 'Mech..at age two, per the family tree. I think we're seeing why House Liao lost so much territory if they took the "Toddlers in Tiaras Neurohelmets" approach to the Succession Wars.)
"Goliath out of the Box" features a Northwind Highlander armor company fleeing frantically from a pursuing Mackie, which is overtaking them. Since the Mackie was 3/5...how frickin' slow were those tanks? (One of which was a hovertank, to boot)
"Johnny Mace, 'Mech Ace" is a chuckle-filled BattleTech take on the Abbot/Costello "Who's on First" routine, utilizing systems like "A Place," "Nowhere," "Anywhere," etc. to sow confusion at a hiring hall on Galatea.