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Osoto-Gari

Technique
Osoto-gari static uchi-komi
Demonstrated by former world vice champion Francesco Bruyere (ITA). He is in the middle in all white gi working with an opponent wearing white top and blue pants.

Competition examples
2008 Golden State Open: Osoto-counter
I performed a failed osoto, my opponent counters me with osoto-gari of his own, I counter him with an osoto-gaeshi(?)
2008 Ladder Tournament: Osoto-gari from seio-nage grip
I caught my opponent with my preferred osoto-gari from the seio-nage entry gripping the lapel.
2009 Tolmezzo Tournament (Italy): Classic Osoto-gari from the left grip
In the opening seconds, I attack my opponent with ko-uchi-gar, and follow up with a classic osoto-gari.
2009 Tolmezzo Tournament (Italy): Two hand on one side grip osoto attack
Osoto-gari followed up with another osoto-gari, I had too much distance and was not able to throw.
2009 Bellizzi Tournament (Italy): No lapel osoto-gari
My opponent throughout the match kept his weight mostly backward to defend against any forward attack. I improvised the sudden change of side and even without a lapel grip I was able to knock him down with an osoto-gari using his backward force.
2009 Winter Nationals: Osoto-gari from seio-nage grip
Again, my opponent was very defensive toward the back, and I used the osoto-gari with seio-nage entry.
2010 Vittorio Veneto Tournament (Italy): Osoto-gari with high-collar grip
My opponent took a high grip, and I used shoulder roll to escape, and entered with my own high-collar grip osoto-gari.
2010 Vittorio Veneto Tournament (Italy): Osoto-gari to osae-komi
I fought an much more experienced opponent from a police team, and was able to catch him with the osoto-gari from seio-nage entry for a yuko, and made the transition into the hold.
2012 US National: Osoto-gari to Harai-goshi finish
I threw my opponent first with the osoto-gari from seio-nage entry, and later again entered with osoto-gari but changed direction for a harai-goshi finish, unexpectedly. It could be argued that it was an osoto anyway due to the lack of hip contact, and it could also be a seio-otoshi from the grip.

Tai-otoshi

Technique
Janusz Pawlowski shows fundamental principle of tai-otoshi

Competition examples
Janusz Pawlowski (POL) vs. Mortense (DEN)
1988 Seoul Olympic Games. Silver medalist Pawloski (POL) performed a tai-otoshi that should have been an ippon by today's standard, he also threw his opponent later with a drop seio-nage.
Marco Maddaloni 2nd Match at 2008 Italian Open
Jumping tai-otoshi
Marco Maddaloni 5th Match at 2008 Italian Open
A lot of feint movement back and forth before successfuly setting up the opponent for tai-otoshi.