2 Minor correction
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I will call you.

If someone said this to me, I would expect that person to call me at some point in the future.

I would call you.

It's hard to say what this sentence means without additional context. For example, it could be part of any of the following dialogs:

Person A: Who would you call if you needed help?
Person B: I would call you. [I would call you, rather than someone else.]

Person A: Would you call or text me if you needed to get in touch with me?
Person B: I would call you. [I would call you, rather than text you.]

Person A: Are you going to call me?
Person B: I would call you...
Person A: But?
Person B: I would call you, but I'm not going to have a lot of free time this week.

Since the sentence uses the conditional, the meaning depends significantly on the condition that's leading to the use of the conditionconditional.

I will call you.

If someone said this to me, I would expect that person to call me at some point in the future.

I would call you.

It's hard to say what this sentence means without additional context. For example, it could be part of any of the following dialogs:

Person A: Who would you call if you needed help?
Person B: I would call you. [I would call you, rather than someone else.]

Person A: Would you call or text me if you needed to get in touch with me?
Person B: I would call you. [I would call you, rather than text you.]

Person A: Are you going to call me?
Person B: I would call you...
Person A: But?
Person B: I would call you, but I'm not going to have a lot of free time this week.

Since the sentence uses the conditional, the meaning depends significantly on the condition that's leading to the use of the condition.

I will call you.

If someone said this to me, I would expect that person to call me at some point in the future.

I would call you.

It's hard to say what this sentence means without additional context. For example, it could be part of any of the following dialogs:

Person A: Who would you call if you needed help?
Person B: I would call you. [I would call you, rather than someone else.]

Person A: Would you call or text me if you needed to get in touch with me?
Person B: I would call you. [I would call you, rather than text you.]

Person A: Are you going to call me?
Person B: I would call you...
Person A: But?
Person B: I would call you, but I'm not going to have a lot of free time this week.

Since the sentence uses the conditional, the meaning depends significantly on the condition that's leading to the use of the conditional.

1
source | link

I will call you.

If someone said this to me, I would expect that person to call me at some point in the future.

I would call you.

It's hard to say what this sentence means without additional context. For example, it could be part of any of the following dialogs:

Person A: Who would you call if you needed help?
Person B: I would call you. [I would call you, rather than someone else.]

Person A: Would you call or text me if you needed to get in touch with me?
Person B: I would call you. [I would call you, rather than text you.]

Person A: Are you going to call me?
Person B: I would call you...
Person A: But?
Person B: I would call you, but I'm not going to have a lot of free time this week.

Since the sentence uses the conditional, the meaning depends significantly on the condition that's leading to the use of the condition.