Some solutions to your problem :
1 - Use the Post Excerpt tag Documentation is here
Your post :
---
layout: post
title: Testing images
---
## Title
Intro Text

More intro text
Some more text blah !
Your template :
<ul>
{% for post in site.posts %}
<li>
<a href="{{ post.url }}">{{ post.title }}</a>
{{ post.excerpt }}
</li>
{% endfor %}
</ul>
As your image tag appears before the excerpt_separator (\n\n = two newlines) it will be in the post excerpt.
2 - Use your post's Yaml front matter to store your image's datas
Post :
---
layout: post
title: Testing images
images:
- url: /assets/img/cypripedium-calceolum.jpg
alt: Cypripedium Calceolum
title: Cypripedium Calceolum
- url: /assets/img/hello-bumblebee.jpg
alt: Hello bumblebee !
title: Hello bumblebee !
---
Intro here yo ! <-- THIS IS THE EXCERPT
Post body begin, and first image not in excerpt
{% assign image = page.images[0] %} <-- first element of the array is zero
{% include image.html image=image %}
Some more text blah !
{% assign image = page.images[1] %}
{% include image.html image=image %}
_includes/image.html (centralized in an include for standardization, but can be in the template) :
<img src="{{ site.baseurl }}{{ include.image.url }}" alt="{{ include.image.alt }}" title="{{ include.image.title }}">
The index page :
<ul class="posts">
{% for post in site.posts %}
<li>
<span class="post-date">{{ post.date | date: "%b %-d, %Y" }}</span>
<a class="post-link" href="{{ post.url | prepend: site.baseurl }}">{{ post.title }}</a>
{{ post.excerpt }}
{% assign image = post.images[0] %}
{% include image.html image=image %}
</li>
{% endfor %}
</ul>