There are big differences between the standards of different agencies.
The facts about entry level training for 3 agencies (NAUI, PADI & SEI):
Required dives:
PADI requires 4 OW SCUBA dives. NAUI requires 5 dives, those dives can either be 5 SCUBA dives or 4 SCUBA dives and one skin dive. SEI requires 1 skin dive and 4 SCUBA dives.
Training hours:
NAUI has a maximum of 8 hours training in any one day, PADI has no such maximum. SEI also has no maximum, but unlike other agencies who only have recommended time for the entire course (excluding open water training), SEI has both recommended and absolute minimums. PADI recommends 31 hours, NAUI recommends 14 hours classroom and 17 hours in the pool, while SEI recommends 32 hours with an absolute minimum of 24. SEI mandates additional testing during open water dives if the class is completed in 24 hours. SEI further requires at least 50% of class time is pool training. I find it interesting SEI includes the following statement in the standards:
"Instructors are encouraged to use traditional course times when possible. A full course of instruction has proven to yield divers that are able to fully enjoy this recreational activity. Instructors using weekend courses are encouraged to certify the students in another agency that allows a shortened course."
Instructor/student ratios
Instructor/student ratios are similar, but not the same. NAUI's ratio in the pool is 10/1, by adding 1 certified assistant (can be a DM or AI from any agency) 6 students may be added, by adding another certified assistant another 4 students may be added, by adding another certified assistant another 2 students may be added. Adding additional assistants results in no more students allowed. PADI's ratio is 10/1 with 4 additional students for each certified assistant (must be a DM or AI with PADI). I do not find an upper limit. SEI's ratio is 10/1 with 4 additional students for each certified assistant (must be a DM or AI with SEI). I do not find an upper limit.
In open water the ratios are less with all three agencies. NAUI's is 6/1, by adding an assistant 2 students may be added to a maximum of 10 students. PADI's is 8/1, by adding an assistant 2 students may be added to a maximum of 12 students. SEI is 6/1, by adding an assistant 2 students may be added to a maximum of 10 students.
Swimming requirements:
PADI requires either a 200 yd swim or a 300 yd snorkel. NAUI requires a swim, but no minimum distance, instead they use a minimum number of strokes. I forget the exact number 12 or 18 seem to stick with me, it's not much. Many NAUI instructors still require the old 225 yd swim. SEI requires a 200 yd swim to begin in water training and a 300 yd swim to complete the course. NAUI & SEI also require an underwater swim of 50 ft (SEI requires 25 ft before in water training can begin) without a pushoff. PADI has no similar requirement. NAUI & PADI both require a 10 minute float/tred. SEI requires a 10 minute float/tred to begin in water training and a 15 minute float/tred to complete the course.
Confined water skin diving requirements:
NAUI requires a 450 yd skin dive with some underwater swimming, but no set distance required. PADI has no similar requirement, but does recommend a 50 yd skin dive and recommends 50 yds underwater. SEI requires a 100 yd skin dive using at least 3 different kicks for at least 25 ft each and at least 25 ft each using 3 different kicks while underwater.
All three require surface dives, NAUI makes no mention of type in its standards, while PADI specifies head first dives, SEI requires head first and feet first surface dives.
SEI requires mask/snorkel recovery from the pool bottom swimming 25 ft underwater to the mask/snorkel where they are donned, the mask cleared and the snorkel cleared using either blast or displacement, neither PADI or NAUI do.
NAUI requires bringing a simulated unconscious diver from 10 ft, neither PADI or SEI do.
Confined water SCUBA requirements:
NAUI requires orally inflating your buddy's BC, PADI & SEI do not.
NAUI requires removing and replacing the mask on the surface, SEI and PADI do not.
NAUI requires removing and replacing fins on the surface, PADI & SEI do not.
PADI requires removing and replacing the SCUBA unit with minimal assistance, if required, underwater; SEI requires removal and replacement of the SCUBA unit underwater while sharing air; NAUI has neither requirement.
PADI & SEI require no mask breathing, NAUI does not.
PADI & SEI require breathing from a free flowing regulator, NAUI does not.
PADI requires disconnecting the LPI on the surface, SEI requires it underwater, NAUI has neither requirement.
PADI requires towing a simulated exhaused diver 25 yds, NAUI requires a 50 yd tow SEI requires towing a simulated unconscious diver while giving simulated rescue breathing, no specific distance is required.
NAUI & SEI require an emergency swimming ascent, PADI requires a simulated (horizontal) emergency swimming ascent.
PADI & SEI require snorkel/regulator exchanges, NAUI does not.
NAUI requires simulated in water rescue breathing, PADI does not, SEI requires it while towing a simulated victim.
NAUI & SEI require bringing a simulated unconscious diver from depth (10 ft is NAUI's requirement, the pool bottom is SEI's requirement), PADI does not.
SEI requires entering the pool holding all the gear and donning it underwater, NAUI & PADI do not.
SEI requires simulated water exit onto a small boat, NAUI & PADI do not.
SEI requires rescuing a simulated panicked diver on the surface, NAUI & PADI do not.
Open water SCUBA requirements:
NAUI requires figuring air consumption, PADI & SEI do not.
NAUI requires identifying common aquatic life, PADI & SEI do not.
NAUI & SEI require underwater communication, PADI's only mention of it in their standards is signaling ascents and descents.
PADI requires buoyancy control with oral inflation of the BC, NAUI & SEI do not.
PADI & SEI require snorkel/regulator exchanges, NAUI does not.
NAUI & SEI require students to be evaluated on their underwater swimming, PADI does not.
SEI requires students to be evaluated on their trim, NAUI & PADI do not.
Classroom topics:
NAUI & SEI require shallow water blackout to be taught, PADI does not.
PADI & SEI require reverse block be taught, NAUI does not.
PADI & SEI require exhaustion be taught, NAUI does not.
PADI requires carotid sinus reflex be taught, NAUI & SEI do not.
PADI & SEI require oxygen toxicity be taught, NAUI does not.
PADI & SEI require air contamination be taught, NAUI does not.