Lizard said:
So, I wonder if you're still approaching the system from a perspective that's expecting things that aren't there. Then, when they aren't, you've already got grounds to be upset.
Lets take a look at your post:
I've been trying to build an Eladrin fighter (wizard). My main choice is "Take Arcane Initiate at level 1 or take it at level 2", with the other choice being "Take Eladrin Soldier at Level 1 or Level 2".
Here's the first thing that caught my attention. You skipped over something important. Your main choice was not, as you said, which feat and when. Your main choice was, and always will be in 4e, Race/Class. The designers have made this explicit on multiple occasions. Every other decision from here on out is going to be a decision of variability, a question of "what variety of Eladrin Fighter/Wizard am I making?" All other decisions stem directly from this one.
I originally wanted to go Greatsword/no shield, but the advantages of Eladrin Soldier make that really sub-optimal, or so it seems.
I would agree with you, though for more reasons than just the feat. As you start to level a bit, if you want your Wiz spells to actually hit you're going to need to be using an implement with them. Sword/wand makes a pretty good combination, giving you the flexibility to fight or cast without having to switch equip. This is going to be true of any multiclass that involves a melee and a non-melee though (except for cleric. Damn clerics get their implements on their necks, instead of in their hands! Lucky bastards!

)
With one Feat and no skill points, my total choices are pretty limited. There just aren't very many interesting choices to make at first level, or so it seems.
This is in fact exactly what I was getting at in the OP. However, I can give you a numeric number of how many choices you make at first level.
1 - Attributes
2 - Race
3 - Class
4 - Class option (twf ranger vs archer ranger)
5 - At-will #1
6 - At-will #2 (sometimes an easy, obvious choice for your build. sometimes not)
6b - At-will #3 for humans
7- Encounter
7b - At-will as encounter for h-elf
8 - Daily
9 - Feat
9b - Feat #2 for humans
10 - Equipment
10b - Starting rituals for wizard or cleric
It's not a ton of choices, but there's a fair amount there. I'm sure someone here could run the math and let us know how many permutations are possible given that number of choices. Significantly less than 3rd, but not an unplayably small amount.
I dunno. It's not a BAD character, I just didn't feel I had very many choices that weren't deliberately self-screwing. Once I decided I wanted to recreate a classic Elf F/MU, the rest of the decisions seemed made for me.
Well, you are going for a *very specific* concept and have already limited yourself in certain ways. Eldorian, above, mentions a few other ways you could make a "fighting spellcaster" character concept. He also mentioned that WotC has already announced they're releasing one, a full-blown separate class one, in Forgotten Realms. The class version of something is always going to be better at that concept than the multiclass version, unless the concept is itself an "X with just a little bit of Y".
Further, it really appears as if you've constrained your thinking and are frustrating yourself by doing so. You want to make a classic elf F/MU. You've decided that this means Eladrin, Fighter, Wizard Multiclass.
Right there, you're nearing the end point of level 1 character creation and you want it to be the beginning. That's not how it works anymore. Race/Class/Class Variant/Multiclass is, for the rest of this edition, going to be the central decision. Everything else is just a variable of those parts.
What other builds are viable -- not just possible, but actually GOOD? Is there any reason to forego Eladrin Soldier? How would you do a Greatsword wielder?
I wouldn't. Or, if I did, I would accept that I'm hobbling myself in some ways. It'd be like playing a Fighter in 3e who exclusively uses a club. It's an option, but it's far from a good one. Still, I can do it if I want. And you can do your greatsword Eladrin Ftr/Wiz if you want. You'll just miss out on the implementy goodness I mentioned above.
I need to make a few more characters to see if I start finding any interesting and unexpected combos.
Possibly you'll find a few. Possibly not. Depends on what you find interesting, and what you expect. I'm discovering more interesting things in playing (and my own playstyle) than char building, hence the whole point of this discussion. I would have sworn without a doubt that I was a leader player six months ago, but I'm enjoying the hell out of strikers now that I'm playing 4e. Which made me make my next character, an elven archer ranger/cleric. So much beautiful synergy there, I can't wait to try him out.