You're not iterating through the rows of the table. You find_all for <table> tags (which there is only 1, and then try to iterate through those tags. What you want to do is find all the <tr> tags, within the <table> tag, and then iterate through the <tr> tags. you are also only grabing the first element out of the soup object, not the info object.
Easier solution, since it is the <table> tag you are after, use pandas to grab that (it actually uses beautifulsoup under the hood). But it'll do all that hard work for you:
import pandas as pd
url = 'https://www.programmableweb.com/apis/directory'
table = pd.read_html(url)[0]
Output:
print (table.to_string())
API Name Description Category Submitted
0 Google Maps [This API is no longer available. Google Maps'... Mapping 12.05.2005
1 Twitter [This API is no longer available. It has been ... Social 12.08.2006
2 YouTube The Data API allows users to integrate their p... Video 02.08.2006
3 Flickr The Flickr API can be used to retrieve photos ... Photos 09.04.2005
4 Facebook [This API is no longer available. Its function... Social 08.16.2006
5 Amazon Product Advertising What was formerly the ECS - eCommerce Service ... eCommerce 12.02.2005
6 Twilio Twilio provides a simple hosted API and markup... Telephony 01.09.2009
7 Last.fm The Last.fm API gives users the ability to bui... Music 10.30.2005
8 Twilio SMS Twilio provides a simple hosted API and markup... Messaging 02.19.2010
9 Microsoft Bing Maps Bing Maps API and Interactive SDK features an ... Mapping 12.02.2005
10 del.icio.us From their site: del.icio.us is a social bookm... Bookmarks 10.30.2005
11 Google App Engine [This API is no longer available. Its function... Tools 12.05.2008
12 Foursquare The Foursquare Places API provides location ba... Social 09.10.2009
13 Google Homepage From their site: The Google Gadgets API provid... Widgets 12.14.2005
14 DocuSign Enterprise DocuSign is a Cloud based legally compliant eS... Electronic Signature 03.29.2008
15 Amazon S3 Since 2006 Amazon Web Services has been offeri... Storage 03.14.2006
16 Google AdSense The Google AdSense API is ideal for developers... Advertising 06.01.2006
17 GeoNames Geonames is a geographical database with web s... Reference 01.12.2006
18 Wikipedia The unofficial Wikipedia API. Because Wikipedi... Reference 09.05.2008
19 Box Box is a modern content management platform th... Content 03.07.2006
20 Amazon EC2 The Amazon Elastic Compute Cloud (Amazon EC2) ... Cloud 08.25.2006
21 Bing [The Bing API is now the Bing Web Search API. ... Search 06.04.2009
22 LinkedIn LinkedIn is the world's largest business socia... Social 12.10.2007
23 Instagram Graph Instagram is a photo sharing iPhone app and se... Photos 12.15.2010
24 Yelp Fusion The Yelp Fusion APIs are RESTful APIs and user... Recommendations 08.03.2007
And if you click on next page, you see https://www.programmableweb.com/apis/directory?page=1, so it's just a matter of iterating through that in a for loop until the end, and append to your dataframe after each iteration.