lmao, holy crap that was an answer...thanks.
I think I'm set on wanting to do a wizard because they have some spells I want to cast that sorcerers can't, like Arcane Eye for one instance.
You did mention that you house rule CHR bonus of level +1 to the Sorcerer spells know does break the game. What are your thoughts on either a FEAT or BACKGROUND called Wizard School Sorcerer where you get to pick one additional spell known from the Wizard list and it doesn't count towards your max spells known...maybe up to your CHR or INT modifier?
The CHR bonus to spells known
or continuing the spells known progression. I haven't seen both and the spells known formula is more common because other spells known casters want stat bonus to known as well. Most of the time I've seen the DM specifically wants the sorc to learn more known. The basic progression is sorc level +1 until it's halved for the high tier and eliminated for epic tier. It doesn't break the class to simply continue with a spell for 21 spells known eventually.
To answer your question, magic initiate already exists and isn't a bad way to pick up another 1st level spell, more cantrips, and a free casting. In play test it was part of a chain where additional feats added a 2nd, 3rd, and 4th level spell. I am not sure why it was dropped. Probably because it's expensive in feats costs to the point no one would ever spend 4 ASI's just for more spells known.
Magic initiate allow a spellcaster to use the spell learned using slots in addition to the free casting as long as it's from one of the classes to which the spellcaster accesses spells. So a sorc who takes magic initiate sorcerer gains a 1st level spell known, 1 freebie use of that spell, and 2 extra cantrips. The alternative would be taking a spell with a long duration from another list (like mage armor) and just using the freebie cast.
You would need to talk to your DM if all you want is more spells known. I wouldn't hesitate to allow a feat to grant a first level spell from any class to be known and use a choice of caster stat as in line with other feats and not stepping on the toes of magical secrets or other feats too much.
It's easier just to take even a single level of pretty much any class with spells, however; sorcs are pretty MC friendly. I like abusing the sorc capstone when I get into an epic game so I tend not to MC. The sorc capstone is a pretty good prep device. It's better than the wizard capstone, but the 18th level wizard ability is actually better than either, imo, so a definite consideration if you play to that tier. Spell mastery is a definite on the wizard list of pros.
I find both your arguing amusing, but I side with Mistwell on this...plus, this doesn't say it is a list of all players in the game. It lists who takes feats, and I assume that is who takes feats versus stat increases out of those that take or play with feats. Otherwise, the numbers would be the same for each category.
Organized gameplay allows feats. It seems to be the default until the DM decides otherwise, and makes sense as to why it's included in the SRD and PHB instead of a section of the DMG. The statistics we were given demonstrated higher levels use feats (presumably because ASI's take priority) starting around 12th level but most players aren't that high so the majority of players were not shown to be using feats. Feats not being allowed as the reason is just an assumption that's disproven by the feats appearing at higher levels.
It's all speculation, however. ;-)