This movie is an improvement of the Saturn's current published run. It is 1363 frames (22.71... seconds) faster than his run with new tricks and strategies. I used a smv-file that I personally made by using Saturn's smv-file that he has optimized fully and used in his latest run.
In this section, I'll give a full description of my movie, especially different parts from Saturn's run.
The save data screen
The only way to change a RNG about critical hit without alterng the battle strategy is to select the save data at different frames. I delay the timing of selecting the save data by 5 frames to get the currently best RNG, which enables to get a critical hit with Shiva Edge at the Shell and Core battle. 5 frames lost.
The battle mode screen
Select not Active but Wait for the battle setting. This is related to a new strategy of the Shell battle. I'll explain about it below.
The naming screen
Let Crono's name as it is. 15 frames saved.
Follow the cat holding the right key instead of waiting around the bed. 2 frames saved.
The area with Leene's bell
Talk to Marle when she is so close to Crono instead of talking to her as soon as grabbing the pendant, which reduces the distance Marle walks toward Crono when she joins in Crono. 34 frames saved.
The shop windows
Equip Crono with Shiva Edge instead of Rainbow, and don't give Valkerye to Marle. 2 frames saved.
The area with Leene's bell
Don't call on the menu to change the battle speed. Instead, this is done by using the menu entrance trick just before the Shell battle. 110 frames saved.
The area with Telepod.
Take a somewhat different path to the dot from Saturn's, and the gate opens a bit faster than usual for some reason. 3 frames saved.
Before the Shell Lavos battle
Use the menu entrance trick, set the battle speed 2 and set the menu cursor to save the previous position. It costs 3 frames to change the function of the menu cursor, however, without it, you will lose 4 frames when you use the menu trick and move around the cursor. 46 frames saved.
The Shell Lavos battle
Replace IceSword2 with Crono's critical hit with Shiva Edge and Slash. With Active, you'll never be able to use Crono's actions three times before Lavos' casts his "Chaos" at speed 2. That is why I choose Wait at the begining. 111 frames saved.
After the Shell Lavos battle
Use the menu entrance trick, set the battle mode Active, set the battle cursor to save the previous position, and use a HyperEther on Crono. As for the battle cursor, it takes 3 frames for setting. But, Crono uses only Techniques in later battles other than the first attack of the Core battle, which means it reduces the number of the cursor movement and saves a few frames. 54 frames saved.
The Lavos 2 battle
I stick to Saturn's strategy until I cut off Lavos' arms. After that, I skip to heal Crono's MP and use IceSword1, Luminaire twice and IceSword2. Also, the fastest strategy of that battle is probably to use a HyperEther on Crono, Slash and Luminaire instead of IceSword1 and IceSword2. This strategy enables to skip the refill of Crono's MP around the Lavos 2 battle and would save about 100-120 frames. However, if you follow that strategy, for some reason, a critical hit which should occur turns into a normal attack at the begining on the Core battle. Without the critical hit, you will lose around 200 frames there, and it's much more than 100-120 frames. So I had no choice but to use the rather slower strategy. 128 frames saved.
Before the Lavos Core battle
Use the menu entrance trick and use a HyperEther on exhausted Crono. 13 frames saved.
The Lavos Core battle
This battle is the most improved part from Saturn's run. I noticed by chance that the right bit skips its attack and looses the defence if you attack the right bit between the left bit's death and the right bit's attack. Also the earlier low defence enables to use Luminaire twice and beat the Center bit before it uses Spell. With the good RNG, I managed to get the critical hit from Shiva Edge at the beginning, which saves a good amount of time. Because, without it, I had to use Confuse instead of the critical hit, which has a long animation and costs about extra 200 frames. 744 frames saved.
After the Lavos Core battle
It seems the length of the time between the death of the Lavos Core and the appearance of the End of the Time varies depending on the timing you deliever the final blow to the Core. Because, I took somewhat longer time than Saturn's here. Of course, I tried to delay the final hit, but only to find more delay occurs. 17 frames lost.
The End of Time
Talk to each NPC in reverse order from Saturn's, which sets the direction to the point to jump off and the next gate be the same and reduce the total running distance. 25 frames saved.
The jail cell
Take a different path from Saturn's to eliminate the lag near the exit. 1 frame saved.
The future age room
Talk to another NPC before talking to the key NPC, which enables to skip stopping to answer the question. 91 frames saved.
The Ocean Palace room
Do the same thing with the future age room, which reduces the lag near the exit as well. 1 frame saved.