Is this Generalist Wizard balanced compared to the official wizard subclasses?
The intent is to make a wizard that, instead of focusing on any particular school or application, just gains more knowledge of and control over magic, the wizard equivilant of the Champion or Open Hand subclasses.
At 2nd level, you gain proficiency in Arcana if you are not already proficient. You add double your proficiency bonus when you make an Arcana check.
Rogues and Bards can get expertise in Arcana, so its probably balanced for Wizards to do the same.
You have studied magic so much your mental capacity to remember spells has increased. Also at 2nd level, when you prepare spells, you can prepare an additional number of spells from your spellbook equal to your proficiency bonus.
A wizard gets at least 44 spells by level 20, and usually much more from copying. They can normally prepare 25/44+, and this raises it to 31/44+, so this is at most a 24% improvement.
At 6th level, you gain the ability to record any spell with the Ritual tag into your spellbook, regardless of if it appears on the wizard spell list or not. You can cast any spell with the ritual tag as a ritual if that spell is recorded in your spellbook and you have your spellbook on you. Whenever you gain a level in this class, your 2 free learned spells can still NOT be ritual spells not on the wizard list.
Note that this does not give any ritual spells immediately, and they must be found during the wizard’s adventures and gameplay, giving them a gradual increase in mostly very situational utility spells
At 10th level, the easiest spells become even easier for you. As an bonus action, you can choose one cantrip from any spell list. You learn that cantrip and can cast it using your Intelligence modifier until you use this bonus action again. You can use this ability twice, and you regain all uses when you finish a long rest.
This is very similar to the 10th level cantrip for the job UA Artificer feature, at this level the wizard has 5 cantrips anyway, so this just adds utility, but is very flexible.
Through tireless study, you have trained to control the Weave to the point you can sometimes control, through great effort, two spells at once. At 14th level, if you are concentrating on a spell, you can now cast a second spell that also requires concentration. If you do so, you immediately suffer a number of levels of exhaustion equal to the sum of the spells’ levels. Levels of exhaustion gained in this way can only be removed via long rests. If you fail a check to maintain concentration, both spells end. You cannot use this feature if you are somehow immune to exhaustion. You cannot concentrate on a third spell.
Being able to concentrate on multiple spells is extremely powerful, and is supposed to make up for this subclasses lack of combat helpful features the other subclass’ have. However, I believe it is balanced because rest-only-curable exhaustion is a very high price to pay, and since 6 levels of exhaustion is death, only 5 total spell levels can be concentrated on at once. This does allow free concentration on 2 cantrips at once, however there are only 6 cantrips that require concentration, only one of which (create bonfire) does damage, and one of which is the worst cantrip in the game, True Strike.